Ratio And Proportion Ques 10

Question-

The respective ratio between the present age of son, mother, fa- ther and grandfather is 2:7:8:12. The average age of son and mother is 27 years. What will be mother’s age after 7 years?

(1) 40 years

(2) 41 years

(3) 48 years

(4) 49 years

(5) None of these

(UCO Bank PO Exam. 30.01.2011)

Show Answer

Correct Answer: (4)

Solution: (4)

According to the question,

$\frac{2 x+7 x}{2}=27 $

$\Rightarrow 9 x=27 \times 2=54 $

$\Rightarrow x=\frac{54}{9}=6$

$\therefore$ Mother’s age after 7 years $=7 x+7=7 \times 6+7=49$ years