A and B currently have an age ratio of 7 3 After 7 years this age ratio wiU become 2 1 After how man...........

Quantitative Aptitude (MTS) Problems based on Ages

A and B currently have an age ratio of 7 : 3. After 7 years this age ratio wiU become 2 : 1. After how many years from now will

the age ratio between the ages of A and B become 3 : 2?

This questions was previously asked in

SSC MTS 8th July 2022 Shift-1

49 years

42 years

35 years

28 years

- Let's denote the current ages of A and B as 7x and 3x, respectively. Their age ratio is given as 7:3.

- In 7 years, the ages of A and B will be 7x + 7 and 3x + 7. The ratio then becomes 2:1.

- Setting up the equation: \( \frac{7x + 7}{3x + 7} = \frac{2}{1} \)

- Solving this equation for x gives \( x = 7 \).

- This means the current ages of A and B are 49 and 21, respectively.

- We are asked after how many years the age ratio will be 3:2.

- Let the number of years be y. Then, \( \frac{49 + y}{21 + y} = \frac{3}{2} \).

- Solving this equation gives \( y = 35 \).

- Green tick: Option 3: 35 years is the correct answer.

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