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?

36 years
38 years
42 years
40 years

Correct answer: 42 years

Solution

Let Khushi's age be \(x\). Then aunt's age is \(4x\), and aunt:brother = 9:1 gives brother's age as \(\frac{4x}{9}\). Since the brother is 5 years younger than Khushi, solving gives the aunt's present age as 36 years, so after 6 years it will be 42 years.

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