Question
The combined age of A and B is 70 years. The current age
ratio of A to C is 9:10. Additionally, the average age of A, B, and C is given as 30 years. What is the age difference between A and B?Solution
Let the present ages of A, B and C be ‘a’, ‘b’ and ‘c’ years respectively.
According to the question,
a + b = 70 --- (1)
a: c = 9: 10 --- (2)
a + b + c = 90
c = 90 – 70 = 20 years
So, a = (9/10) × 20 = 18 years
So, b = 70 – 18 = 52 years
Required difference = 52 – 18 = 34 years
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