Solving common core maths problems #1
Common core mathematics are essentially fun and tricky. Not necesserly in that order. Let's solve some of these maths problems that became meme over the internet. In this serie, you will find a few ways to improve yourself at solving common core maths. Because, if you think a bit to the last problem you find on your favorite social network, it was kind of tricky (and tricky is an euphemism).
However, if you have the feeling common core problems are tricky, hard or just weird, that's only because they are based on simple and very easy problems. These problems are then complicated to make them looking hard. But they are not - and if you can't solve one of them within 2 minutes, you are not dumb.
The problem
Find three numbers such as :
AA + BB + CC = ABCAssuming A, B and C are (positives) integers.
My solving proposition
I started off by considering AA as a random two digits number, like 11 or 22. You will agree with this decomposition : 11 = 10 + 1 and 22 = 20 + 2. Then, I re written the first expression this way :
A0 + A + B0 + B + C0 + C = A00 + B0 + CThen I simplified the expression, substracting C and B0 to the two members and gathering C0 and B together (10 + 2 = 12 e.g.) :
AA + CB = A00
CB = A00 - AANow let's give to A a random value between 1 and 9 (let's start with 1) :
11 + CB = 100
CB = 89So you have finally got : A = 1 ; B = 9 ; C = 8
11 + 99 + 88 = 198Problem solved !