Question
Riya is 5 years older than Meera, while Meera is 2 years
younger than Nita. The ratio of age of Riya, 3 years hence and Meera, 1 year ago is 8:5. Find the age of Nita, 5 years ago.Solution
ATQ,
Let present age of Riya, Meera and Nita be R, M and N years, respectively. Then, R = M + 5, and M = N – 2 Also, (R + 3)/(M – 1) = 8/5 (M + 5 + 3)/(M – 1) = 8/5 (M + 8)/(M – 1) = 8/5 5M + 40 = 8M – 8 48 = 3M M = 16 N = M + 2 = 16 + 2 = 18 So, Nita’s age 5 years ago = 18 – 5 = 13 years
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