Farah got married 8 years ago. Today her age is `1 2/7` times her age at the time of her marriage. At present her daughters age is one-sixth of her age. What was her daughters age 3 years ago? a. 4 years b. 3years c. 6 years d. cannot be determined e. none of these

Options

A. 6 years
B. 7 years
C. 3 years
D. Cannot be determined

Answer

C

Explanation

Let Farah's age 8 years ago be x years Farah's present age = (x+8) years
`:. X + 8 (9x)/ 7 rArr 7x + 56 =9x`
` rArr 2x = 56`
` rArr x = 28`
Farah's present age = 28+8 = 36 years
Her daughter's age
` = 36 xx 1/6 = 6 ` years, Required age = 6-3=3 years