Question

A and B each have a certain number of mangoes. A says to B "If you give me 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

Let A has x mangoes and B has y mangoes.

Then, according to the question,

$x+30=2(y-30)$

$x-2y=-90$ .......(1)

And, $3(x-10)=y+10$

$3x-y=40$ ..........(2)

On multiplying equation 2 by 2, and subtracting the result equation from 1, we get,

$-5x=-170$

$x=34$

On putting $x=34$ in equation 1, we get,

$y=62$

Therefore, A has 34 mangoes and B has 62 mangoes.