Two numbers are such that the ratio between them is 4 : 7. If each is increase by 4, the ratio become 3 : 5. The larger number is = ?

Solution (By Examveda Team)

A : B
4x : 7x
Now 4 is added to each number
$$\eqalign{ & \frac{{4x + 4}}{{7x + 4}} = \frac{3}{5} \cr & \Rightarrow 20x + 20 = 21x + 12 \cr & \Rightarrow x = 8 \cr} $$
∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56