Question

The present ages of Ram, Rahim and Robert are
in proportion of 5:7:8. Six years ago, the sum of
their ages is 42. Find their present ages.​

Answer 1

Answer :

Age of Ram, Rahim, and Robert is 15, 21, and 24 years respectively.

Explanation :

Age ratio of -

• Ram : Rahim : Robert = 5 : 7 : 8

Six years ago, the sum of their age was 42.

Let's assume, the present age of -

• Ram = 5x years.
• Rahim = 7x years.
• Robert = 8x years.

∴ 6 years ago the age of -

• Ram = (5x - 6) years.
• Rahim = (7x - 6) years.
• Robert = (8x - 6) years.

According to the question,

→ (5x - 6) + (7x - 6) + (8x - 6) = 42

→ 5x - 6 + 7x - 6 + 8x - 6 = 42

→ 5x + 7x + 8x - 6 - 6 - 6 = 42

→ 20x - 18 = 42

→ 20x = 42 + 18

→ 20x = 60

→ x = 60/20

→ x = 3

Hence, the present age of -

• Ram = 5x = 15 years.
• Rahim = 7x = 21 years.
• Robert = 8x = 24 years.

Answer 2

Given:-

• The present age of Ram, Rahim and Robert are in ratio 5:7:8.
• Six years ago, the sum of their ages is 42.

To Find:-

• Present age of Ram, Rahim and Robert?

Solution:-

Let the present age bebe:-

• Ram = 5x
• Rahim = 7x
• Robert = 8x

Therefore, six years ago their ages be:-

• Ram = 5x - 6
• Rahim = 7x - 6
• Robert = 8x - 6

Now, according to the question:-

• (5x - 6)+(7x - 6)+(8x - 6) = 42
• 5x + 6x + 7x - 6 - 6 - 6 = 42
• 20x - 18 = 42
• 20x = 42 + 18
• 20x = 60
• x = 20/60
• x = 3

Their present ages:-

• Ram = 5x = 5 × 3 = 15
• Rahim = 7x = 7 × 3 = 21
• Robert = 8x = 8 × 3 = 24

Hence, the present age of Ram is 15 years, Rahim is 21 years and Robert is 24 years.