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The ratio of the age of Sohan to that of Mohan is 6 : 7. If Sohan is 4 years younger than Mohan then what will be the ratio of the ages of Sohan and Mohan after 4 years?

The ratio of the age of Sohan to that of Mohan is 6 : 7. If Sohan is 4 years younger than Mohan then what will be the ratio of the ages of Sohan and Mohan after 4 years? Correct Answer 7 : 8

Given:

Ratio of the age of Sohan and Mohan is 6 :7

Sohan is 4 years younger than Mohan

Calculation:

Let the ages of Sohan and Mohan be 6x years and 7x years respectively

Then, 7x - 6x = 4 (sohan is 4 years younger)

⇒ x = 4

Now the required ratio = (6x + 4) : (7x + 4) = (6×4 + 4) : (7×4 + 4) = 28 : 32 = 7 : 8

∴ After 4 years the ratio of the age of Sohan and Mohan is 7:8 

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