Question

The ages of sonal and manoj are in the ratio of 9:5.ten years since the ratio of their ages will be 9:5. Find their present age.

Answer 1

Answer:

Step-by-step explanation:

Change in the question : Ten years later the ratio of their ages is 9 : 7

Solution:

Given, the ratio of the present ages of Sonal and Manoj = 7 : 5

Let the age of Sonal be `7x` yrs

And the age of Manoj be `5x` yrs

Ten years later their ages will be   (7x + 10) and   (5x + 10)

Given the ratio of the ages after 10 years = 9:7

Assume the ages as 9x and 7x

∴7x + 10 + 5x + 10 = 9x + 7x 

⇒12x - 16x = -20

⇒-4x = -20

⇒x = -20/-4

∴x = 5

Therefore the present age of Sonal = 7x = 7×5 = 35 years

And the present age of Manoj = 5x = 5×5 = 25 years

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