Question
Three years ago, the ratio of Meena's age to Neha’s age 1
year from now was 3:5. If their average present age is 25 years, what is the difference between their current ages?Solution
ATQ,
Sum of present ages of Meena and Neha = 25 × 2 = 50 years
Let the present age of Meena = y years
Then, present age of Neha = (50 − y) years
According to the question,
(y − 3):(50 − y + 1) = 3:5
⇒ 5(y − 3) = 3(51 − y)
⇒ 5y − 15 = 153 − 3y
⇒ 8y = 168
⇒ y = 168 ÷ 8 = 21
So, present age of Meena = 21 years
And present age of Neha = 50 − 21 = 29 years
Therefore, difference = 29 − 21 = 8 years
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