Question

The ratio of the present ages of Ram and Shyam is 3: 4, and 4 years ago the ratio was 2: 3. What will be the ratio of the ages of Ram and Shyam 4 years from now?

• A. 4 : 5
• B. 1 : 5
• C. 2 : 5
• D. 3 : 5

Answer 1

Answer:

A. 4 : 5

Let present ages of Ram and Shyam be 3x and 4x.

Use the condition 4 years ago

$\frac{3x - 4}{4x - 4} = \frac{2}{3}$

Cross multiply:
$3(3x - 4) = 2(4x - 4)$
$9x - 12 = 8x - 8$
$9x - 8x = -8 + 12$
$x = 4$

Present ages

Ram = (3x = 12)
Shyam = (4x = 16)

Ages after 4 years

Ram = (12 + 4 = 16)
Shyam = (16 + 4 = 20)

Ratio after 4 years

16 : 20 = 4 : 5

Final Answer: 4 : 5