MathematicsA 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?

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?

A
34 and 62
B
43 and 32
C
20 and 22
D
10 and 20

Solution:

Let A has x mangoes and B has y mangoes.
Then, according to the question,

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

Therefore, A has 34 mangoes and B has 62 mangoes.
Hence, Option (1) is the correct answer.