Question

The present ages of Rajeev and Monica are in the ratio 5 : 2. 17 years ago, the ratio of their ages was 4 : 1. Find their present ages.

Answer 1

Let the age of Rajeev before 17 years be 5x and Monica's be 2x

After 17 years, i.e. Present age :

Age of Rajeev = 5x + 17

Age of Monica = 2x + 17


According to the given condition

$\dfrac{5x + 17}{2x + 17} = \dfrac{4}{1}$

☛ 1(5x + 17) = 4(2x + 17)

☛ 5x + 17 = 8x + 68

☛ 8x - 5x = 68 - 17

☛ 3x = 51

☛ x = 17


∴ Present age of Rajeev ☛ 5x + 17

☛ 5 × 17 + 17

☛ 85 + 17

☛ $\pink{\underline{\pink{\underline{\tt{\red{102\:years}}}}}}$


∴ Present age of Monica ☛ 2x + 17

☛ 2 × 17 + 17

☛ 34 + 17

☛ $\pink{\underline{\pink{\underline{\tt{\red{51\:years}}}}}}$

Answer 2

Answer: Rajeev's age is 85 years and Monica's age is 34 years

Step-by-step explanation:

Since Rajeev's and Monica's ages are in the ration 5:2, we can write their ages as 5x and 2x respectively.

Before 17 years their ages were 5x-17 and 2x-17

So (5x-17)/(2x-17)=4/1

5x-17 = 4(2x-17)

5x-17=8x-68

3x=51

x=17

So Rajeev's age is 17x5=85 years and Monica's age is 17x2=34 years68/17