Question 7

# The ratio of present ages of P and Q is 8 : 5. After 4 years their ages will be in the ratio 4 : 3 respectively. What will be the ratio of P’s age after 7 years from now and Q’s age now?

Solution

Let the present age of P be 8x and Q be 5x
After 4 years, P's age = 8x + 4 and Q's age = 5x + 4
$$\frac{8x+4}{5x+4} = \frac{4}{3}$$
$$24x + 12 = 20x + 16$$
$$x = 1$$
Present age of P = 8 years
Present age of Q = 5 years
Required ratio = 15 : 5 = 3 : 1