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प्रश्न
What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion?
उत्तर
Let the number subtracted be x.
∴ (7 – x) : (17 – x) :: (17 – x)(47 – x)
`(7 - x)/(17 - x) = (17 - x)/(47 - x)`
(7 – x)(46 – x) = (17 – x)2
329 – 47x – 7x + x2 = 289 – 34x + x2
329 – 289 = –34x + 54x
20x = 40
x = 2
Thus, the required number which should be subtracted is 2.
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