if the sum if two number is 24.and there reciprocal is 1/15.then find its there numbers product.
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Let the two numbers be x & y respectively.
As per 1st condition,
x+y=8
As per 2nd condition,
1/x + 1/y =8/15
Therefore, (x+y)/x.y =8/15
We already know that x+y=8
Hence, 8/x.y=8/15
Therefore, x.y=15
Now, only two solutions are possible
(x,y)=(3,5) or (1,15)
However, 1+15 is not equal to 8 (1st condition)
Hence the only solution is that the two numbers are 3 & 5.
vaibhav8089:
this is not right answer . the conditions is given that the the sum of reciprocol of numbers is 1/15.
if your answer is 3 and 5 then its sum of reciproal is not equal to 1/15.
but your method is a correct
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