Question
Ratio of present ages of ‘M’ and ‘N’ is 4:3
respectively. After 6 years, ratio of ages of ‘N’ and ‘M’ becomes 5:7 respectively. Find the age of ‘N’ after 10 years.Solution
ATQ, Let present ages of ‘M’ and ‘N’ be 4y and 3y years respectively.
So, (4y + 6) : (3y + 6) = 7 : 5
Or, 5 × (4y + 6) = 7 × (3y + 6)
Or, 20y + 30 = 21y + 42
Or, y = 12
Therefore, required age = 3 × 12 + 10 = 46 years
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