Question

The ratio of the present ages of mohit to rohit is 4:9 three years ago the ratio of theirvages was 1:3.What will be rohit's age after six years in adda

Answer 1

Answer:

After six years, Rohit will be 24 years old.

Step-by-step explanation:

Ratio of ages of Mohit and Rohit is 4 : 9.

Let age of Mohit = 4x years

Age of Rohit = 9x years

Three yeas ago-

Age of Mohit = (4x - 3) years

Age of Rohit = (9x - 3) years

Ratio = 1 : 3

(4x - 3) : (9x - 3) = 1 : 3

$\dfrac{4x - 3}{9x - 3} = \dfrac{1}{3}$

By cross multiplication-

3(4x - 3) = 1(9x - 3)

12x - 9 = 9x - 3

12x - 9x = -3 + 9

3x = 6

$x = \dfrac{6}{3}$

x = 2

Age of Mohit = 4x

                      = 4 × 2

Age of Mohit = 8 years

Age of Rohit = 9x

                     = 9 × 2

Age of Rohit = 18 years

After six years-

Rohit's age = 18 + 6

Rohit's age = 24 years