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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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?

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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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