Ira is younger than Vivan by 7 years and their ages are in the respective ratio of 7 9. How old is Ira - www.mathselab.com

Ira is younger than Vivan by 7 years and their ages are in the respective ratio of 7 : 9. How old is Ira?


Question


Ira is younger than Vivan by 7 years and their ages are in the respective ratio of 7 : 9. How old is Ira?


A. 24
B. 24.5
C. 23.5
D. 25


Answer: B. 24.5


Solution:


Let age of Ira and Vivan be 7x and 9x respectively.

9x − 7x = 7

⇒ 2x = 7

⇒ x = 3.5

Ira’s age = 7x

= 7 × 3.5

= 24.5




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