Question

The ages of Varma and Vishnu are in the ratio 5:7. Four years
from now, the ratio of their ages will be 3:4. Find their present ages.​

Answer 1

Given :

The ages of Varma and Vishnu are in the ratio 5:7. Four years from now, the ratio of their ages will be 3:4.

To find :

• Present ages

Solution :

★ Let the present age be x

• First condition

The ages of Varma and Vishnu are in the ratio 5:7.

★ Varma's present age = 5x

★ Vishnu's present age = 7x

• Second condition

Four years from now, the ratio of their ages will be 3:4.

• After four year

★ Varma's age = 5x + 4

★ Vishnu's age = 7x + 4

• As per given condition

→ 5x + 4/7x + 4 = 3/4

• Cross multiplication

→ 4(5x + 4) = 3(7x + 4)

→ 20x + 16 = 21x + 12

→ 16 - 12 = 21x - 20x

→ x = 4

• Present ages

→ Varma = 5x = 5*4 = 20 years

→ Vishnu = 7x = 7*4 = 28 years

Answer 2

Question:-

• The ages of Varma and Vishnu are in the ratio 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present ages.

To Find:-

• Find the present ages.

Solution:-

Given ,

• Let the ages of Varma and Sharma are in the ratio of 5 : 7

Then ,

• Let Varma age be 5x

• Sharma age be 7x

According to the Question:-

$\sf \longrightarrow \: \dfrac { 5x + 4 } { 7x + 4 } = \dfrac { 3 } { 4 }$

$\sf \longrightarrow \: 4( 5x + 4 ) = 3( 7x + 4 )$

$\sf\longrightarrow \: 20x + 16 = 21x + 12$

$\sf \longrightarrow \: 21x - 20x = 16 - 12$

$\sf \longrightarrow \: x = 4$

Hence ,

• Present age of Varma is 5x = 20 years

• Present age of Sharma is 7x = 28 years