Question

Kiran is 15 years older than Rajat. After six years, their ages will be in the ratio 3:2, find their ages.


Answer (24 years; 39 years)​

Answer 1

Answer :

Rajat Age = x Yrs.

Kiran Age = (x + 15) Yrs.

★ After 6 Yrs.

Rajat Age = (x + 6) Yrs.

Kiran Age = (x + 15 + 6) = (x + 21) Yrs.

★ According to Question

➡ Kiran Age/Rajat Age = 3/2

➡ (x + 21)/(x + 6) = 3/2

➡ 2(x + 21) = 3(x + 6)

➡ 2x + 42 = 3x = 18

➡ x = 24 Yrs.

★ Rajat Age = 24 Yrs.

★ Kiran Age = (24 + 15) = 39 Yrs.

Answer 2

AnswEr :

⠀

✯ Let ;

• Present Age of Rajat be x yrs.
• Present Age of Kiran be (x + 15) yrs.

⠀

✯ After 6 Yrs.

• Age of Rajat be (x + 6) yrs.
• Age of Kiran be (x + 15 + 6) = (x + 21) yrs.

⠀

A.T.Q.

⠀

➟ $\large\bold{\frac{Kiran~Age}{Rajat~Age}}$ = $\large\bold{\frac{3}{2}}$

⠀

➟ $\large\bold{\frac{(x+21)}{(x+6)}}$ = $\large\bold{\frac{3}{2}}$

⠀

• By Cross Multiplication ;

⠀

➟ 2(x + 21) = 3(x + 6)

⠀

➟ 2x + 42 = 3x + 18

⠀

➟ 42 - 18 = 3x - 2x

⠀

➟ x = 24 Yrs.

⠀

━━━━━━━━━━━━━━━━━━━━━━━━

⠀

◧ Present Age of Rajat = x = 24 Yrs.

◧ Present Age of Kiran = (x + 15) = (24 + 15) = 39 Yrs.

⠀

⠀

$\large\therefore$ Present Age of Rajat and Kiran is 24 Yrs and 39 Yrs Respectively.