the sum of 2 numbrs is 8. 15 times the sum of their reciprocals is also 8 find the numbers
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x+y=8
15(1/x+1/y)=8
x+y=15(1/x+1/y)
x+y=15(y+x/xy)
x+y*xy/x+y=15
xy=15
SO,
5 and 3 are the numbers
15(1/x+1/y)=8
x+y=15(1/x+1/y)
x+y=15(y+x/xy)
x+y*xy/x+y=15
xy=15
SO,
5 and 3 are the numbers
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