Question

the ages of sonal and manoj are in ratio 7:5 .10 years hence the ratio of their ages will be 9:7. find their present age

Answer 1

this is the step by step solution.

Answer 2

Answer:

The Present ages are -

• Sonal = 35 years
• Manoj = 25 years

Step-by-step explanation:

Given :

Ages of Sonal and Manoj are in Ratio = 7 : 5

Ratio after 10 Years = 9 : 7

To Find :

Their present Ages

Solution :

Let the present Ages be -

• Sonal as 7x
• Manoj as 5x

$\rule{300}{1.5}$

➡ (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

$\rule{300}{1.5}$

Manoj's age =

➡ 5 × 5

➡ 25

$\rule{300}{1.5}$

Sonal's age =

➡ 7 × 5

➡ 35

$\therefore$ The Present ages are -

• Sonal = 35 years
• Manoj = 25 years