Question
Five years back, the age ratio of Meera and Sanya was
11:13. Five years from now, the ratio becomes 13:15. What is the average of their present ages?Solution
ATQ,
Let present age of Meera and Sanya be P years and Q years respectively.
According to question,
(P – 5)/(Q – 5) = 11/13
3P – 65 = 11Q – 55
13P – 11Q = 10 ………………….(1)
And, (P + 5)/(Q + 5) = 13/15
15P + 75 = 13Q + 65
13Q – 15P = 10 …………………..(2)
Solving equation (1) and (2), we get
P = 55 and Q = 65
Average present age of Meera and Sanya = (55 + 65)/2 = 120/2 = 60 years
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