Question

The ratio of the ages of tina and rakesh is 9 : 10 respectively. 10 years ago, the ratio of their ages was 4 : 5 respectively. What is the present age of rakesh?

Answer 1

Ratio of the ages of tina and rakesh = 9 : 10

Consider the age of tina and rakesh as 9x, 10x

10 years ago :

Tina's age will be = 9x - 10

Rakesh's age will be = 10x - 10

Ratio of their ages 10 years ago = 4 : 5

According to the question :

$\frac{9x - 10}{10x - 10} = \frac{4}{5}$

By cross multiplication :

$(9x - 10)5 = 4(10x - 10)$

$45x - 50 = 40x - 40$

$45x - 40x = - 40 + 50$

$5x = 10$

$x = \frac{10}{5}$

$x = 2$

Present age of rakesh = 10x = 10(2) = 20 years

Therefore the present age of rakesh is 20 years.

Answer 2

Answer:

Step-by-step explanation: