Question

The ratio of the ages of Mr. Rajendra and
Rahul is 7:2. After 8 years their ages will
be in the ratio 8:3. Find their present ages.​

Answer 1

The x=8

So,

»The present age of rajendra's is 7x=7×8=56years

»The present age of rahul is 2x=2×8=16years.

Answer 2

Answer:

Answer is

∴ Present age of Rajendra = 7x = 7 × 8 = 56 years

and Present age of Rahul = 2x = 2 × 8 = 16 years

Step-by-step explanation:

Sol: Ratios of the age of Mr.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 years