Ratio And Proportion Ques 12

Question-

The respective ratio between the present age of Aarti and Savita is $5: x$. Aarti is 9 years younger than Jahnavi. Jahnavi’s age after 9 years will be 33 years. The difference between Savita’s and Aarti’s age is same as the present age of Jahnavi. What will come in place of $x$ ?

21

37

17

(4) Cannot be determined

(5) None of these

(IBPS Bank PO/MT CWE 18.09.2011)

Show Answer

Correct Answer: 5

Solution: (5)

Jahnavi’s present age $=33-9=24$ years

$\therefore$ Aarti’s present age $=24-9=15$ years

Now,

Aarti : Savita $=5: x=15: 3x$

$\therefore$ Savita’s current age $=3 \times$ years

$\therefore 3 x-15=24$

$\Rightarrow 3 x=24+15=39$

$\Rightarrow x=\frac{39}{3}=13$