The present ages of Vishal and Shekhar are in the ratio of 14 17 Six years from now their ages will ...........

Quantitative Aptitude (MTS) Problems based on Ages

The present ages of Vishal and Shekhar are in the ratio of 14 : 17. Six years from now, their ages will be in the ratio of 17 : 20.

What is Shekhar's present age?

This questions was previously asked in

SSC MTS 25th July 2022 Shift-1

51 years

34 years

36 years

17 years

- Let the present ages of Vishal and Shekhar be 14x and 17x respectively.

- After six years, their ages will be 14x + 6 and 17x + 6.

- According to the problem, the ratio of their ages after six years is 17:20.

- So, the equation becomes \((14x + 6) / (17x + 6) = 17/20\).

- Solving this equation will give the value of x.

- Cross-multiply: \(20(14x + 6) = 17(17x + 6)\)

- Simplifying: \(280x + 120 = 289x + 102\)

- Subtract 280x from both sides: \(120 = 9x + 102\)

- Subtract 102 from both sides: \(18 = 9x\)

- Divide both sides by 9: \(x = 2\)

- Therefore, Shekhar's present age is \(17x = 17 \times 2 = 34\) years.

- Option 2: 34 years (Correct Answer)

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