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Question -

The difference of two natural numbers is 3 and the difference of their reciprocals is 3/28. Find the numbers.



Answer -


y(y + 7) – 4(y + 7) = 0
(y – 4) (y + 7) = 0
y – 4 = 0 or y + 7 = 0
y = 4 or y = -7 (rejected being natural no.)
When y = 4, x = 3 + 4 = 7 [From (ii)]
Number are 7, 4

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