Question

the ratio of age of sarita and divya is 9:11 before 6 year and the ratio of their present age is 6:7 then after 2 year how many age of divya​

Answer 1

Answer :-

The age of Sarita and Divya is 26 and 30 respectively.(after 2 years)

Explanation :-

Given :

The ratio of their ages before 6 years = 9 : 11

Ratio of their present ages = 6 : 7

To find :

Their ages after 2 years.

Solution :

Consider the ages before 6 years as :

Sarita = 9x

Divya = 11x

★ Equation formed :

$\boxed{\sf{\frac{9x + 6}{11x + 6}=\frac{6}{7}}}$

$\sf{\implies}\dfrac{9x + 6}{11x + 6} =\dfrac{6}{7}$

$\sf{\implies}7(9x + 6) = 6(11x + 6)$

$\sf{\implies}63x + 42 = 66x + 36$

$\sf{\implies}63x - 66x= 36 - 42$

$\sf{\implies} - 3x =- 6$

$\sf{\implies}\cancel-\:3x = \cancel-\:6$

$\sf{\implies}3x = 6$

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

$\sf{\implies}x = 2$

Ages before 6 years :-

Value of 9x

$\sf{\implies}$ 9 × 2

$\sf{\implies}$ 18

Sarita = 18 years

Value 11x

$\sf{\implies}$ 11 × 2

$\sf{\implies}$ 22

Divya = 22 years

Present ages

Sarita = 18 + 6 = 24

Divya = 22 + 6 = 28

Ages after 2 years

Sarita = 24 + 2 = 26

Divya = 28 + 2 = 30

$\therefore$ The age of Sarita and Divya is 26 and 30 respectively. (after 2 years)

Answer 2

Answer is down ↓↓

Sarita as 6x

Divya as 7x

It will be :–

$\frac{6x - 6}{7x - 6} = \frac{9}{11}$

$11(6x - 6) = 9(7x - 6)$

$66x - 66 = 63x - 54$

$3x = 12$

$x = 4$

Sarita's present age will be

6 × 4

24

Divya's present age will be

7 × 4

28

Now , the ages plus 2 years

24 + 2 = 26

28+ 2 = 30

final answer :- Therefore, the of Divya is 30 years and Sarita is 26 years.