# easy question

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17 years ago
#1
Hi everybody
i have an easy question that i cannot solve it?
if x+y=4
then what is the min of (1/x+1/y)
??????????????
0
17 years ago
#2
Hi,
If X+Y=4, then X can be any of 0, 1, 2, 3 or 4, while at the same time, Y can be any of 4, 3, 2, 1 or 0; so that the sum X+Y is equal to 4.

0 is Invalid number, as any fraction with Zero as denominator is invalid or infinity. This makes 4 also an invalid choice.

From the other combination the least value for 1/X + 1/Y is obtained only with X & Y = 2.

Hence least value of 1/X + 1/Y = 1

Bala
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