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

Suppose A has x mangoes and B has y mangoes
According to the given conditions, we have

Multiplying equation (i) by 3 and equation (ii) by 1, we get

Subtracting equation (iv) by equation (iii), we get

Hence, A has 34 mangoes and B has 62 mangoes