Question : The ratio of Mohit's and Sunil's present age is 4 : 5. Mohil is 7 years younger than Sunil. What will be the ratio of Mohit's age to Sunil's age after 7 years?
Option 1: 7 : 8
Option 2: 5 : 6
Option 3: 6 : 7
Option 4: 8 : 9
Correct Answer: 5 : 6
Solution :
Let Mohit's present age as $4x$ and Sunil's present age as $5x$.
Given that Mohit is 7 years younger than Sunil.
$⇒5x - 4x = 7$
$⇒x = 7$
So, Mohit's present age is 4$x$ = 28 years and Sunil's present age is 5$x$ = 35 years.
After 7 years, Mohit's age will be 28 + 7 = 35 years and Sunil's age will be 35 + 7 = 42 years.
$\therefore$ Ratio of Mohit's age to Sunil's age after 7 years = 35 : 42 = 5 : 6
Hence, the correct answer is 5 : 6.
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