Xayden and Peter share some candies. If Xayden gives 2/5 of his share to Peter, Peter will have 156 more candies than him. If Xayden gives 3/4 of his share to Peter, Peter will have 240 more candies than him. How many candies must Peter give to Xayden so that they will have the same number of candies?

1 answer

to start, they have x and p candies, respectively. Then we learn that
3/5 x + 156 = p + 2/5 x
1/4 x + 250 = p + 3/4 x
solve that, and finish it off.
the desired number is just 1/2 the difference between p and x