Question

A and B each has some money. If A gives Rs 30 to B, then B will have twice the money left with A. But, if B gives Rs 10 to A, then A will have thrice as much as is left with B. How much money does each have?

Answer 1

Let the money with A be Rs x and the money with B be Rs y.

If A gives Rs 30 to B, Then B will have twice the money left with A, According to the condition we have,

If B gives Rs 10 to A, then A will have thrice as much as is left with B,

By multiplying equation with 2 we get,

By subtracting from we get,

By substituting in equation we get

Hence the money with A be and the money with B be