Radha got married six years ago. Her present age is \(\frac{5}{4}\) times her age at the time of marriage. Her daughter's age is \(\frac{1}{10}\) of her age. What is the present age of her daughter?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 3 years
Radha's age at her marriage was six years less than her present age, so one unknown, her present age, gives both ages.
Assuming Radha's present age to be \(x\) years:
Age at marriage \(=x-6\)
Present age is \(\frac{5}{4}\) times that: \(x=\frac{5}{4}(x-6)\)
\(4x=5x-30\), so \(x=30\)
Daughter's age \(=\frac{1}{10}\) of 30 \(=\) 3 years