Question

A and B each have a certain number of mangoes. A says to B, "if you give 30 of your mangoes, I will have twice as many as left with you." B replies, "if you give me 10, I will have thrice as many as left with you." How many mangoes does each have?

Answer 1

To find:

(1) Total mangoes of A.

(2) Total mangoes of B.

Suppose A has x mangoes and B has y mangoes,

According to the given conditions,

3x + 6y + 270 = 0 …… (3) and

Now adding eq.2 and eq.3

5y = 310

y =

Hence A has 34 mangoes and B has 62 mangoes.