Question 64

If A gives Rs.30 to B, then B will have twice the money left with A. If B gives Rs.10 to A, then A will have thrice as much money as is left with B. Then the amount A has initially (in rupees) is

Solution

Let say, initially A had a Rs and B had b Rs.

from condition 1 :

$$B+30=2\times\ \left(A-30\right).$$

or,$$2A-B=90.$$

from condition 2:

$$A+10=3\times\ \left(B-10\right).$$

or,$$3B-A=40.$$

By solving these 2 equations we get,

$$A=62$$ and $$B=34$$.

So, C is correct choice.

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