Two years ago, the ratio between the age of Ram and Sham is 4 : 9. Aft

1.	Two years ago, the ratio between the age of Ram and Sham is 4 : 9. After 5 years, the ratio will be 3 : 5. Find the average age of Ram and Sham.1. 15 years2. 18 years3. 20 years4. 22 years5. 25 years
Answer» Correct Answer - Option 1 : 15 years Given: Two years ago, the ratio between the age of Ram and Sham is 4 : 9. After 5 years, the ratio will be 3 : 5 Calculation: Let present age of Ram and Sham be a years and b years respectively. ⇒ (a - 2) : (b - 2) = 4 : 9 ⇒ 9a - 18 = 4b - 8 ⇒ 9a - 4b = 10 Then, ⇒ (a + 5) : (b + 5) = 3 : 5 ⇒ 5a + 25 = 3b + 15 ⇒ 3b - 5a = 10 After solving, we get a = 10 years and b = 20 years Total age of Ram and Sham = 10 + 20 = 30 years Required average = 30/2 = 15 years ∴ The average age of Ram and Sham is 15 years.

Two years ago, the ratio between the age of Ram and Sham is 4 : 9. After 5 years, the ratio will be 3 : 5. Find the average age of Ram and Sham.1. 15 years2. 18 years3. 20 years4. 22 years5. 25 years

Answer» Correct Answer - Option 1 : 15 years

Given:

Two years ago, the ratio between the age of Ram and Sham is 4 : 9. After 5 years, the ratio will be 3 : 5

Calculation:

Let present age of Ram and Sham be a years and b years respectively.

⇒ (a - 2) : (b - 2) = 4 : 9

⇒ 9a - 18 = 4b - 8

⇒ 9a - 4b = 10

Then,

⇒ (a + 5) : (b + 5) = 3 : 5

⇒ 5a + 25 = 3b + 15

⇒ 3b - 5a = 10

After solving, we get

a = 10 years and b = 20 years

Total age of Ram and Sham = 10 + 20 = 30 years

Required average = 30/2 = 15 years

∴ The average age of Ram and Sham is 15 years.

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