Question 7

# 15% of a number, when added to 30% of another, gives 24% of the sum of the two numbers. The bigger number is 4 more than the smaller one. What are the numbers?

Solution

The correct option is B.

Let two numbers are $$x$$ and $$y$$.
from question, 15% x $$x$$ + 30% x $$y$$ = 24% x ( $$x+y$$)

$$\Rightarrow$$ 9% x $$x$$ = 6% x$$y$$

$$\Rightarrow$$ $$x : y$$ = 2 : 3

Now from option only option B is correct.