IO. A and B begin to play with equal sums, and when B has lostfive-cle

1.	IO. A and B begin to play with equal sums, and when B has lostfive-clevenths of what he had to begin with, A has gained Rs 6 morethan haif of what B has left: what had they at first?
Answer» Let the sum be x Then,B lost = 5x/11A gained = (x - 5x/11)/2 + 6= 6x/22 + 6 As per given condition(x - 5x/11) + (x + 6x/22 + 6) = 2x5x/11 - 6x/22 = 610x - 6x = 6*224x = 132x = 132/4 = 33 Therefore, sum is 33

IO. A and B begin to play with equal sums, and when B has lostfive-clevenths of what he had to begin with, A has gained Rs 6 morethan haif of what B has left: what had they at first?

Answer»

Let the sum be x

Then,B lost = 5x/11A gained = (x - 5x/11)/2 + 6= 6x/22 + 6

As per given condition(x - 5x/11) + (x + 6x/22 + 6) = 2x5x/11 - 6x/22 = 610x - 6x = 6*224x = 132x = 132/4 = 33

Therefore, sum is 33