The age of Anjali and Ankit are in the ratio of 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.

Given :

The ratio of ages of Anjali and Ankit $= 5: 7$.

Four years hence the ratio of their ages $=3: 4$.

To do :

We have to find their present ages.

Solution :

Let the present ages of Anjali and Ankit are 5x and 7x respectively.

Four years later, 

Age of Anjali becomes $5x + 4$

Age of Ankit becomes $7x + 4$

The ratio of their ages after four years is 3:4.

So, $5x + 4 : 7x + 4 = 3 : 4$

$\frac{5x+4}{7x+4} = \frac{3}{4}$

$(5x + 4)4 = 3 (7x + 4)$

Multiply 4 and 3 inside the brackets, 

$20 x + 16 = 21x + 12$

Keep variables on one side, and numbers on the other side,

$16 - 12 = 21x - 20x$

$4 = x$

$x = 4$

Age of Anjali $= 5x = 5(4) = 20$

Age of Ankit $= 7x = 7(4) = 28$

Therefore, the present age of Anjali is 20 and the present age of Ankit is 28.

Tutorialspoint

Updated on: 10-Oct-2022

191 Views

Kickstart Your Career

Get certified by completing the course

Get Started