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Question -

The difference of two numbers is 4. If the difference of their reciprocals is 4/21, find the numbers. (C.B.S.E. 2008)



Answer -

Let first number = x
Then second number = x тАУ 4
According to the condition,
┬а
Either x тАУ 7 = 0, then x = 7
or x + 3 = 0, then x = -3
(i) If x = 7, then
First number = 7
and second number = 7 тАУ 4 = 3
(ii) If x = -3, then
First number = -3
and second number = -3 тАУ 4 = -7
Number are 7, 3 or -3, -7

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