The sum of two number is 8 and sun their reciprocal is 8/15 find the numbers
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Let the no. X and Y
X + Y =8 .....(1)
1/X + 1/Y = 8/15 .....(2)
i.e. X+Y/XY = 8/15
XY=15 (X + Y = 8)
Y = 15/X ......(3)
put (3) in (1) to get X^{2} - 8X + 15 = 0
by solving we get X=3 and Y = 5 or X =5 and Y = 3
so the no.s are 3 and 5
X + Y =8 .....(1)
1/X + 1/Y = 8/15 .....(2)
i.e. X+Y/XY = 8/15
XY=15 (X + Y = 8)
Y = 15/X ......(3)
put (3) in (1) to get X^{2} - 8X + 15 = 0
by solving we get X=3 and Y = 5 or X =5 and Y = 3
so the no.s are 3 and 5
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