Number System Ques 7

Question

Farah was married 8 years ago.Today her age is $1 \frac{2}{7}$ times to that at the time of marriage. At present her daughter’s age is $\frac{1}{6}$ th of her age. What was her daughter’s age 3 years ago?

(1) 6 years

(2) 7 years

(3) 3 years

(4) Cannot be determined

(5) None of these

(IBPS Specialist Officer CWE 17.03.2013)

Show Answer

Answer: (3)

Solution: (3)

$1 \frac{2}{7}=\underset{7}{9} \rightarrow$ Present age of Farah marriage of Farah

Difference $=9-7=2$

$\because 2$ unit $=8$ years

$\therefore 1$ unit $=4$ years

$\therefore$ Present age of Farah $=9$ unit $=9 \times 4=36$ years

Now, present age of her daughter $=\frac{1}{6} \times 36=6$ years

$\therefore$ Daughter’s age 3 years ago $=6-3=3$ years .