Question : Directions: The present ages of the three friends are in the proportions 6 : 7 : 8. Five years ago, the sum of their ages was 48 years. Find out their present ages in years.
Option 1: 24, 28, 32
Option 2: 18, 21, 24
Option 3: 30, 35, 40
Option 4: 12, 14, 16
Correct Answer: 18, 21, 24
Solution :
Given:
Ratio of present ages of three friends = 6 : 7 : 8
The sum of their ages, five years ago = 48 years
Let the present age of the three friends be 6x, 7x, 8x.
So, five years ago their ages were→(6x – 5); (7x – 5); (8x – 5)
According to the question –
⇒ (6x – 5) + (7x – 5) + (8x – 5) = 48
⇒ 21x – 15 = 48
⇒ 21x = 48 + 15
⇒ x = 63/21
⇒ x = 3
Therefore, their present ages –
6x = 6 × 3 = 18
7x = 7 × 3 = 21
8x = 8 × 3 = 24
Hence, the second option is correct.
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