Question

One year ago, the ratio of the ages of Saketh and Tilak was 5:6,respectively. Four years hence, this ratio would become 6:7. The present age of Saketh is:

• A. 30 years
• B. 31 years
• C. 25 years
• D. 26 years

Answer 1

Answer:

D. 26 years

1. Set up the variables:

• Let Saketh's age one year ago be 5x.

• Let Tilak's age one year ago be 6x.

2. Calculate their present ages:

• Saketh's present age = 5x + 1

• Tilak's present age = 6x + 1

3. Calculate their ages four years hence:

• Saketh's age four years hence = (5x + 1) + 4 = 5x + 5

• Tilak's age four years hence = (6x + 1) + 4 = 6x + 5

4. Set up the ratio for four years hence:

• (5x + 5) / (6x + 5) = 6/7

5. Solve for x:

• Cross-multiply: 7(5x + 5) = 6(6x + 5)

• 35x + 35 = 36x + 30

• 35 = x + 30

• x = 35 - 30

• x = 5

6. Calculate Saketh's present age:

• Saketh's present age = 5x + 1

• Saketh's present age = 5(5) + 1

• Saketh's present age = 25 + 1

• Saketh's present age = 26

Therefore, the present age of Saketh is 26 years.