Ratio And Proportion Ques 46

Question-

After 2 years the ratio of the age of the son to that of his father will be $4: 11$. The ratio of the present ages of son and mother is $2: 5$. The ratio of the present ages of his mother and father is $5: 6$. What is the present age of the son?

(1) 14 years

(2) 10 years

(3) 15 years

(4) 11 years

(5) 13 years

(IBPS RRBs Officer CWE Prelim Exam, 31.12.2020)

Show Answer

Correct Answer: (1)

Solution: (1)

Respective ratio of present ages of son, mother and father $=$ $2: 5: 6$

$\therefore \frac{2 x+2}{6 x+2}=\frac{4}{11}$

$\Rightarrow 24 x+8=22 x+22 $

$\Rightarrow 2 x=22$ $-8 \neq 14$

$ \Rightarrow x=7$

Present age of the son $=2 \times 7=14$ years