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 presen age of Jahnavi. What will come in place of x ?
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 presen age of Jahnavi. What will come in place of x ?
A21
B37
C17
DNone of these
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Correct answer is: None of these
Explanation:
Jahnavi’s present age = 33 - 9 = 24 years
=> Aarti’s present age = 24 - 9 = 15 years
Now, Aarti : Savita = 5 : x = 15 : 3x
=> Savita’s present age = 3x years\(\therefore 3x - 15 = 24\)
\(\implies 3x = 24 + 15 = 39\)
\(\implies x =\frac{39}{3}= 13\)
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