the ratio of the ages of mr. rajendra and Rahul is 7:2 after 8 years ages will in ratio of 8:3 . Find there present age
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Step-by-step explanatioRatios of the age of Rajendra and Rahul = 7 : 2
Let the present ages of Rajendra and Rahul be 7x and 2x respectively
Ratios of the age after 8 years = (7x + 8) ∶ (2x + 8) = 8 ∶ 3
(7x + 8) ∶ (2x + 8) ∶ ∶ 8 ∶ 3
Product of means = Product of extremes
( 2x + 8) × 8 = (7x + 8) × 3
16x + 64 = 21x + 24
21x − 16x = 64 − 24
5x = 40
x = 40 ÷ 5 = 8
∴ Present age of Rajendra = 7x = 7 × 8 = 56 years
and Present age of Rahul = 2x = 2 × 8 = 16 yearsn:
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