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When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is -
Answer & Solution
Correct Answer:
Option
C
Let the required number be x
Then,
$$ = \frac{{7 - x}}{{9 - x}} = \frac{{11 - x}}{{15 - x}}$$
⇒ (7 - x)(15 - x) = (11 - x)(9 - x)
⇒ 105 - 22x + x2 = 99 - 20x + x2
⇒ 2x = 6
⇒ x = 3
Then,
$$ = \frac{{7 - x}}{{9 - x}} = \frac{{11 - x}}{{15 - x}}$$
⇒ (7 - x)(15 - x) = (11 - x)(9 - x)
⇒ 105 - 22x + x2 = 99 - 20x + x2
⇒ 2x = 6
⇒ x = 3
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