Question

The present ages of Rohan and Sohan are in the ratio 4:5 . Four years hence their ages will be in the ratio 5:6 . Find their present ages

Answer 1

✬ Rohan age = 16 years ✬

✬ Soham age = 20 years ✬

Step-by-step explanation:

Given:

• Present ages of Rohan & Soham are in ratio 4 : 5.
• Four years hence their ages will be in ratio 5 : 6.

To Find:

• What is their present ages ?

Solution: Let x be the common in given ratio. Therefore, Present ages of

• Rohan = 4x years
• Soham = 5x years

Four years hence their ages will be :-

• Rohan' age = (4x + 4) years
• Soham's age (5x + 4) years

A/q,

The ratio of their ages after four years will be in 5 : 6.

$\implies{\rm }$ (4x + 4) : (5x + 4) = 5 : 6

$\implies{\rm }$ (4x + 4)/(5x + 4) = 5/6

$\implies{\rm }$ 6(4x + 4) = 5(5x + 4)

$\implies{\rm }$ 24x + 24 = 25x + 20

$\implies{\rm }$ 24 – 20 = 25x – 24x

$\implies{\rm }$ 4 = x

Hence,

➙ Rohan's present age = 4x = 4(4) = 16 Years

➙ Soham's present age = 5x = 5(4) = 20 Years

Answer 2

Answer:

✬ Rohan age = 16 years ✬

✬ Soham age = 20 years ✬

Step-by-step explanation:

Given:

Present ages of Rohan & Soham are in ratio 4 : 5.

Four years hence their ages will be in ratio 5 : 6.

To Find:

What is their present ages ?

Solution: Let x be the common in given ratio. Therefore, Present ages of

Rohan = 4x years

Soham = 5x years

Four years hence their ages will be :-

Rohan' age = (4x + 4) years

Soham's age (5x + 4) years

A/q,

The ratio of their ages after four years will be in 5 : 6.

(4x + 4) : (5x + 4) = 5 : 6

(4x + 4)/(5x + 4) = 5/6

6(4x + 4) = 5(5x + 4)

24x + 24 = 25x + 20

24 – 20 = 25x – 24x

4 = x

Hence,

➙ Rohan's present age = 4x = 4(4) = 16 Years

➙ Soham's present age = 5x = 5(4) = 20 Years

Step-by-step explanation: