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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