Question

the ratio of present ages of prabhu and madhu is 7:8. if 4 years ago, the ratio of their ages was 5:6 find the present age of madhu

Answer 1

Answer:

2:2 ?

Step-by-step explanation:

Answer 2

The present age of madhu = 16 years

Given:

The ratio of present ages of Prabhu and Madhu is 7 : 8

4 years ago, the ratio of their ages was 5 : 6

To find:

The present age of Madhu

Solution:

Given the ratio of present ages of Prabhu and Madhu is 7 : 8

⇒ Let 7x and 8x be the ages of Prabhu and Madhu

[ Since they are in 7:8 ratio ]

4 years ago, their ages are

⇒ Prabhu's age = (7x - 4)years

⇒ Madhu's age = (8x - 4)years

4 years ago, the ratio of their ages was 5:6

⇒ (7x - 4) : (8x - 4) = 5 : 6  

⇒ (7x - 4)/(8x - 4) = 5/6  

⇒ 6(7x - 4) = 5(8x - 4)

⇒ 42x - 24 = 40x - 20

⇒ 2x = 4

⇒ x = 2

The present age of madhu, 8x = 8(2) = 16 years

Therefore, the present age of madhu = 16 years

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