Question

the ratio of Meera's age to Ritu age is 6:7after12 years ,the ratio of their ages will be 12 :13 find their present age​

Answer 1

Given :

• The ratio of Meera's age to Ritu age is 6:7.
• After 12 years ,the ratio of their ages will be 12 :13.

To find :

• Their present ages =?

Step-by-step explanation :

Let, the present age of Meera's be, 6x.

Then, the present age of Ritu's be, 7x.

After 12 years Meera's age will be, 6x + 12

After 12 years Ritu's age will be, 7x + 12

According to the question,

➮ 6x + 12/7x + 12 = 12/13

➮ 13(6x + 12) = 12(7x + 12)

➮ 78x + 156 = 84x + 144

➮ 78x - 84x = 144 - 156

➮ -6x = - 12

➮ x = - 12/-6

➮ x = 2

Therefore, We got the value of, x = 2.

Hence,

The present age of Meera's, 6x = 6 × 2 = 12 years

Then, the present age of Ritu's, 7x = 7 × 2 = 14 years

Answer 2

GIVEN :

• The ratio of Meera's age to Ritu age is 6:7

• The ratio of their ages will be 12:13

TO FIND :

• The present age of Meera and Ritu = ?

STEP - BY - STEP EXPLANATION :

★ AS PER THE QUESTION -----»

=> ( 6x + 12 ) / ( 7x + 12 ) = 12/13

$= > 6x + \frac{12}{7} x + 12 = \frac{12}{3}$

$= > 13(6x + 12) = 12(7x + 12$

$= > 78x + 156 = 84x + 144$

$= > 78x - 84x = 144 - 156$

$= > - 6x = - 12$

( NOTE :----- As we know that (-) and (-) = + )

$= > x = \frac{ - 12}{ - 6} = 2$

Therefore , we get here the value of "X" as 2 .

( NOTE :------ As we know that the value of x is 2 then in the place of X we will write 'X' = 2

★ The present age of Meena = 6x

=> 6x = 6 × 2 = 12 years

Therefore , the present age of Meena = 12 years.

★ The present age of Ritu = 7x

=> 7x = 7 × 2 = 14 years

Therefore, the present age of Ritu = 14 years .