Question

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

Answer 1

$\huge\mathfrak\red{Answer:}$

Given:

• We have been given the ratio of Meera's age to Ritu's age as 6:7.
• And after 12 years the ratio of their ages would be 12:13.

To Find:

• We need to find their present ages.

Solution:

Let the present age of Meera be 6x and Present age of Ritu be 7x.

After 12 years,

Age of Meera = 6x + 12

Age of Ritu = 7x + 12

Now, according to the question we have

$\sf{ \dfrac{6x + 12} {7x + 12} = \frac{12}{13} }$

$\implies\sf{13(6x + 12) = 12(7x + 12)}$

$\implies\sf{78x + 156 = 84x + 144}$

$\implies\sf{156 - 144 = 84x - 78x}$

$\implies\sf{12 = 6x}$

$\boxed{\sf{x = 2}}$

Therefore,

Present age of Meera (6x)

= 6 × 2 = 12 years.

Present age of Ritu (7x)

= 7 × 2 = 14 years

Hence present age of Meera is 12 years and present age of Ritu is 14 years.

Answer 2

Answer:

The present age of Meera and Ritu are 12 and 14 years respectively.

Step-by-step explanation:

Let the Meera's age and Ritu's age be 6x and 7x

After 12 years,

Age of Meera = 6x + 12

Age of Ritu = 7x + 12

By condition,

6x + 12 / 7x + 12 = 12 / 13

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

=> 78x + 156 = 84x + 144

=> 156 - 144 = 84x - 78x

=> 6x = 12 => x = 12/6 = 2

Present age of Meera = 6x = 6×2 = 12

Present age of Ritu = 7x = 7×2 = 14