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Four numbers are in the ratio of 2 : 5 : 7 : 9. If they all add up, they give a value of 115. Find the difference between the largest and the smallest value.
  • a)
    35
  • b)
    42
  • c)
    49
  • d)
    28
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Four numbers are in the ratio of 2 : 5 : 7 : 9. If they all add up, th...
Let the value of four numbers be 2y, 5y, 7y, 9y
Sum of values = 2y + 5y + 7y + 9y = 23y
⇒ 23y = 115
⇒ y = 5
∴ Required difference = 9y – 2y = 7y
⇒ 7y = 7 × 5 = 35
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Four numbers are in the ratio of 2 : 5 : 7 : 9. If they all add up, they give a value of 115. Find the difference between the largest and the smallest value.a)35b)42c)49d)28Correct answer is option 'A'. Can you explain this answer?
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