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The ratio of the ages of Khushi and her Aunt is 1 : 4 and the ratio of the ages of Khushi's Aunt and her brother is 9 : 1. If Khushi's brother is 5 years younger than Khushi. What will be the age of Khushi's Aunt after 6 years?


1. 36 years
2. 38 years
3. 42 years
4. 40 years
5. 44 years

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Correct Answer - Option 3 : 42 years

Given:

The ratio of the ages of Khushi and her Aunt = 1 : 4

The ratio of the ages of Khushi’s Aunt and her brother = 9 : 1

Khushi’s brother = 5 years younger than Khushi

Calculation:

Khushi : her Aunt = 1 : 4

Her Aunt : Her brother = 9 : 1

∴ Khushi : Her Aunt : Her brother = 9 : 36 : 4

∴ According to the question,

⇒ 9x – 4x = 5

⇒ 5x = 5

⇒ x = 1

Khushi’s Aunt’s age after 6 years = (36 × 1) + 6

⇒ 42 years

∴ Khushi’s Aunt’s age after 6 years is 42 years.

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