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The age of four family members is in the ratio 2 ∶ 3 ∶ 7 ∶ 8. If their average age is 25 years, find the difference between the age of the eldest and the youngest member of family.
  • a)
    15
  • b)
    20
  • c)
    25
  • d)
    30
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The age of four family members is in the ratio 2 ∶ 3 ∶ 7 &...
Let the age of 4 family members be ‘2x’, ‘3x’, ‘7x’ and ‘8x’ years
Now, average age = 25
⇒ (2x + 3x + 7x + 8x)/4 = 25
⇒ 20x = 100
⇒ x = 100/20 = 5
Hence,
⇒ Age of eldest member = 8x = 8(5) = 40 years
⇒ Age of youngest member = 2x = 2(5) = 10 years
∴ Required difference = 40 - 10 = 30 years
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The age of four family members is in the ratio 2 ∶ 3 ∶ 7 ∶ 8. If their average age is 25 years, find the difference between the age of the eldest and the youngest member of family.a)15b)20c)25d)30Correct answer is option 'D'. Can you explain this answer?
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