Question

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​

Answer 1

Answer:

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: