Vineeth is younger than Vinoth by 8 years If 4 years ago their ages were in the ratio of 1 2 then th...........

Quantitative Aptitude (MTS) Problems based on Ages

Vineeth is younger than Vinoth by 8 years. If 4 years ago, their ages were in the ratio of 1 : 2, then the present age of Vinoth is:

This questions was previously asked in

SSC MTS 26th October 2021 Shift-3

28 years

22 years

20 years

25 years

- Let Vineeth's present age be \( V \) years.

- Then, Vinoth's age is \( V + 8 \) years because Vineeth is 8 years younger.

- Four years ago, Vineeth's age was \( V - 4 \) and Vinoth's age was \( V + 4 \).

- The age ratio then was \( 1:2 \), so \( \frac{V - 4}{V + 4} = \frac{1}{2} \).

- Solving this equation:

- \( 2(V - 4) = V + 4 \)

- \( 2V - 8 = V + 4 \)

- \( 2V - V = 4 + 8 \)

- \( V = 12 \)

- Vinoth's age now: \( V + 8 = 12 + 8 = \textbf{20} \).

- The correct option is 3: 20 years.

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