Question

the ages of sonu and monu are in the ratio of 7.5 ten years hence the ratio of they ages will be 9.7 find their presnt ages

Answer 1

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• The ages of Sonu and Monu are in the ratio 7:5

• Ten years hence the ratio becomes 9:7

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The present ages of Sonu and Monu

${\green{\underline{\underline{\bold{Solution:-}}}}}$

According to the question :-

Let the age of Sonu be 7x and

Age of Monu be 5x

After 10 years:-

Age of Sonu = (7x + 10)

Age of Monu = (5x + 10)

But Given:-

The ratio of they ages will be 9:7

Therefore:-

(7x + 10) : (5x + 10) = 9:7

$\frac{7x + 10}{5x + 10 } = \frac{9}{7}$

By cross multiplication

7(7x + 10) = 9(5x + 10)

》49x + 70 = 45x + 90

》 49x - 45x = 90 - 70

》 4x = 20

》 x = 20/4

》 x = 5

Present age of Sonu = 7x = 7× 5 = 35 years

Present age of Sonu = 7x = 7× 5 = 35 yearsPresent age of Monu = 5x = 5×5 = 25 years

Answer 2

Given :

• The ages of sonu and monu are in the ratio of 7.5 ten years hence the ratio of they ages will be 9.7 .

To Find :

• Find their present ages.

Procedure :

Let the sonu age be 7x and the monu's age to be 5x.

After 10 years :

• Age of sonu = 7x + 10

• Age of monu = 5x + 10

After 10 years the ratio of sonu's and monu's age is 7x + 10 : 5x + 10

This ratio is equal to 9 : 7

Therefore,

➨ 7x + 10 : 5x + 10 = 9 : 7

➨ 7(7x + 10) = 9(5x + 10)

➨ 49x + 70 = 45x + 90

➨ 49x - 45x = 90 - 70

➨ 4x = 20

➨ x = 20/4

➨ x = 5

Therefore,

• Sonu's age = 7x = 7 × 5 = 35 years.

• Monu's age = 5x = 5 × 5 = 25 years.