The ages of Rahul and Laxmi arc in the ratio 5:7. Four years later, th

1.	The ages of Rahul and Laxmi arc in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages’?
Answer» The ratio of ages of Rahul and Lakshmi = 5:7 Let their ages be 5x, 7x say. After 4 years Rahuls agt. = 5x + 4 After 4 years Lakshmis age = 7x + 4 According to the sum, After 4 years the sum of their ages = 56 ⇒ (5x + 4) + (7x + 4) = 56 ⇒ 12x + 8 = 56 ⇒ 12x = 56 – 8 = 48 ⇒ x = \(\frac{48}{12}\) = 4 ∴ x = 4 ∴ Rahuls present age = 5x = 5 × 4 = 20 years ∴ Lakshmi’s present age = 7x = 7 × 4 = 28 years

The ages of Rahul and Laxmi arc in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages’?

Answer»

The ratio of ages of Rahul and Lakshmi = 5:7

Let their ages be 5x, 7x say.

After 4 years Rahuls agt. = 5x + 4

After 4 years Lakshmis age = 7x + 4

According to the sum,

After 4 years the sum of their ages = 56

⇒ (5x + 4) + (7x + 4) = 56

⇒ 12x + 8 = 56

⇒ 12x = 56 – 8 = 48

⇒ x = \(\frac{48}{12}\) = 4

∴ x = 4

∴ Rahuls present age

= 5x = 5 × 4 = 20 years

∴ Lakshmi’s present age

= 7x = 7 × 4 = 28 years