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1 + 4 x 2 = ? .. 10 or 9 ?

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  • #91
    Originally posted by Wayne View Post
    24312.45
    Very nice.
    Nice systematic approach.
    And here's a reward for you.

    Comment


    • #92
      Here's one that will confuse your symbol recognition.

      What happens when a well known symbol changes meaning?

      Show your thinking.

      I.e . What patterns did you use to solve it?


      1 + 1 = 5

      2 + 2 = 20

      3 + 3 = 45

      4 + 4 = ?



      Comment


      • #93
        Originally posted by McDuck View Post


        1 + 1 = 5

        2 + 2 = 20

        3 + 3 = 45

        4 + 4 = ?


        Hint.

        The first trick is to remember your five times tables.

        5,10,15,20,25,30, 35,40,45, ....

        Comment


        • #94
          Originally posted by McDuck View Post

          Hint.

          The first trick is to remember your five times tables.

          5,10,15,20,25,30, 35,40,45, ....
          While the answer may be 80 (4x4x5=80) it is still wrong.
          It is just wrong to say that a + is now acting like a x (with a hidden multiplier of 5).

          Comment


          • #95
            Originally posted by Wayne View Post

            While the answer may be 80 (4x4x5=80) it is still wrong.
            It is just wrong to say that a + is now acting like a x (with a hidden multiplier of 5).
            Well solved.

            these are the tricks.

            1. Scan for patterns.
            2. Note that all the answers are multiples of five.
            3. Read the equations in abstract. as "Do something to something get something".
            5 . Swap out terms.
            6.something done to something becomes 5.
            7. check with five times table.
            8. 1 x 5 = 5
            9 . notice the mismatch with 1+1=5.
            10. See that both the + symbol and the second 5 are a mismatch.
            11. correct for mismatch.
            Correct by converting + to x
            Correct second term by multiplying by five.
            12. Test on second equation. 2 + 2 = 20, becomes 2 x (2x5) = 20 .
            13 Apply rule to last equation. 4 + 4 = ? becomes 4 x (4x5) = 80 .
            14.Test on third equation, because why not.

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            • #96


              I should have given you this one before the last one, to get your brain into the right space.
              But meh, this one will still offer some small mental challenges.
              There's a fast way and a slow way.
              Show your working.

              Comment


              • #97
                Originally posted by McDuck View Post


                I should have given you this one before the last one, to get your brain into the right space.
                But meh, this one will still offer some small mental challenges.
                There's a fast way and a slow way.
                Show your working.
                Apples are worth 11 (33/3)
                So 2 apples = 22 so a lemon = 22 (44-(2x11)=22
                If a lemon = 22 then Avocado = 88/22=4
                So apple + lemon + Avocado = 11+22+4=37

                Comment


                • #98
                  Nice.

                  Textbook.
                  Bet you were suspicious about a + being some other sign, after that last one. Ha.

                  Can you write the real answer, in case someone doesn't get your joke about the + being a x, from your previous protest about the previous question.
                  I personally find it hilarious, but you know...

                  Also, any ideas about the fast way?

                  Last edited by McDuck; 20-05-2021, 11:39 AM.

                  Comment


                  • #99
                    Originally posted by Wayne View Post

                    Apples are worth 11 (33/3)
                    So 2 apples = 22 so a lemon = 22 (44-(2x11)=22
                    If a lemon = 22 then Avocado = 88/22=4
                    So apple + lemon + Avocado = 11+22+4=37
                    37???

                    Are you sure???

                    How can an 'x' symbol on one line represent multiplication but on the last line it represents addition?

                    How about the answer being 132?

                    Comment


                    • Originally posted by Aston View Post

                      37???

                      Are you sure???

                      How can an 'x' symbol on one line represent multiplication but on the last line it represents addition?

                      How about the answer being 132?
                      Good point - I missed the x in the last line!
                      So it would be (apple=11, lemon=22 and avo=4)
                      11+(22x4) = 11+88=99 (Note, following PEMDAS rules multiplication and division before addition and subtraction)

                      As for the quicker method
                      apple = 33/3 = 11
                      lemon x avo=88 (already given)
                      so 88+11 = 99 (no need to work out the value of a lemon or avo separately)
                      Last edited by Wayne; 20-05-2021, 02:27 PM.

                      Comment


                      • Originally posted by Wayne View Post

                        Good point - I missed the x in the last line!
                        So it would be (apple=11, lemon=22 and avo=4)
                        11+(22x4) = 11+88=97 (Note, following PEMDAS rules multiplication and division before addition and subtraction)

                        As for the quicker method
                        apple = 33/3 = 11
                        lemon x avo=88 (already given)
                        so 88+11 = 97 (no need to work out the value of a lemon or avo separately)
                        Well I'll settle for 99. Check your addition.



                        Comment


                        • lol.
                          Well, you got it with good teamwork.
                          Yes, the brain can get a bit dusty through lack of use.
                          A long time since school days.

                          here it is.


                          (apple) + (apple) + (apple) = 33.

                          so (apple) = 11.
                          _______________

                          and also

                          (lemon) x (avocado) = 88

                          _______________

                          Find

                          (apple) + (lemon) x (avocado)

                          Substitute in 88 for [ (lemon) x (avocado) ]

                          And the equation now looks like this.

                          (apple) +[ 88 ] = ?

                          and we already know that (apple) = 11.
                          so, swap in the 11.

                          11 + 88 = 99

                          ? = 99
                          ______________

                          * of course the whole thing is ridiculous.
                          A number can not = fruit.
                          (Who ever heard of a number pie).
                          Last edited by McDuck; 20-05-2021, 02:05 PM.

                          Comment


                          • Originally posted by Aston View Post

                            Well I'll settle for 99. Check your addition.
                            I fixed it - that was very lazy of me :-(

                            Comment


                            • Originally posted by Wayne View Post

                              I fixed it - that was very lazy of me :-(
                              That one was a bit more tricky than I realized.
                              Meh, the point is to exercise the brain. so it's good when they dump several pattern breaks on you at once.
                              The hazard was more about distraction than lack of care.
                              Similar to a magician's misdirection trick.

                              Last edited by McDuck; 21-05-2021, 08:47 AM.

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