Subject: General Aptitude · Chapter: Problems on Ages · Exam: · Marks: · Difficulty:
One year ago, Promila was four times as old as her daughter Sakshi. Six years hence, Promila's age will exceed her daughter's age by 9 years. The ratio of the present ages of Promila and her daughter is
(a)9 : 2
(b)11 : 3
(c)12 : 5
(d)13 : 4
(e)None of these
Answer
Answer (as printed): D
Explanation
Let Sakshi's age 1 year ago be $x$ years. Then, Promila's age 1 year ago $=4 x$ years. ∴ Sakshi's age now $=(x+1)$ years, Promila's age now $=(4 x+1)$ years. $$(4 x+1)+6=(x+1+6)+9$$ $\Rightarrow 4 x+7=x+16$ $\Rightarrow 3 x=9$ $\Rightarrow x=3$. Ratio of Promila's age and Sakshi's age now $$=\frac{(4 x+1)}{(x+1)}=\frac{13}{4}=13: 4 .$$
Explanation as extracted from the printed page; notation may be imperfect.