Question

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

Answer 1

Answer

• Their ages will be 20 & 28 years

Explanation

Given

• Ratio of the ages of Rahul and Lakshmi is 5:7
• After 7 years the sum of their ages will be 56

To Find

• Their present ages?

Solution

So as per the ratio,

1. Rahul's age = 5x
2. Lakshmi's age = 7x

After 4 years

1. Rahul's age = 5x+4
2. Lakshmi's age = 7x+4

Sum of their ages will be 56,

➝ (5x+4) + (7x+4) = 56

➝ 5x+4+7x+4 = 56

➝ 5x+7x+4+4 = 56

➝ 12x+8 = 56

➝ 12x = 56-8

➝ 12x = 48

➝ x = 48/12

➝ x = 4

✭ Present age of Rahul

➝ 5x = 5×4 = 20 years

✭ Present age of Lakshmi

➝ 7x = 7×4 = 28 years

Answer 2

Answer

Their ages will be 20 & 28 years

Given:

Ratio of the ages of Rahul and Lakshmi is 5:7

After 7 years the sum of their ages will be 56

To find:

Their present ages=?

Solution:

So as per the ratio,

Rahul's age = 5x

Lakshmi's age = 7x

After 4 years

Rahul's age = 5x+4

Lakshmi's age = 7x+4

Sum of their ages will be 56,

➝ (5x+4) + (7x+4) = 56

➝ 5x+4+7x+4 = 56

➝ 5x+7x+4+4 = 56

➝ 12x+8 = 56

➝ 12x = 56-8

➝ 12x = 48

➝ x = 48/12

➝ x = 4

✭ Present age of Rahul

➝ 5x = 5×4 = 20 years

✭ Present age of Lakshmi

➝ 7x = 7×4 = 28 years