The ratio of the present ages of a mother and daughter is 3 1 Five years ago the ratio of their ages...........

Quantitative Aptitude (MTS) Problems based on Ages

The ratio of the present ages of a mother and daughter is 3 : 1. Five years ago, the ratio of their ages was 5 : 1. Find the age of

the mother 41 years hence.

This questions was previously asked in

SSC MTS 22nd October 2021 Shift-2

68 years

65 years

71 years

70 years

- Let's call the current age of the mother M and the daughter D. According to the problem, M : D = 3 : 1, meaning M = 3D.

- Five years ago, the ratio of their ages was 5 : 1, which means (M - 5) : (D - 5) = 5 : 1. This can be written as M - 5 = 5(D - 5).

- Solve these equations:

- M = 3D

- M - 5 = 5D - 25

- Substitute M from the first equation into the second: 3D - 5 = 5D - 25.

- Solve for D: 2D = 20 ? D = 10. The daughter is 10 years old.

- Calculate M: M = 3D = 30. The mother is 30 years old.

- In 41 years, the mother will be 30 + 41 = 71 years old.

- The correct answer is Option 3: 71 years.

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