50 is divided into two parts such that the sum of their reciprocal is 1/12. find the two parts . with full soluction
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tahavora2003:
if we add this both 1/x+1/50-x=1/12
and taking the LCM
so equation would be 50/50x-xsquare
=1/12
then cross multiply it
the rohit ans is write
yup
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Answered by
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take first part as x... then second part will be 50-x
as Per question sum of their reciprocal is 1/12
so 50 + 1/(50-x) = 1/12
(50-x+x)/x(50-x) = 1/12
=50/50x-x^2 = 1/12
=50x-x^2=600
=x^2-50x+600=0
=(x-30)(x-20) = 0
so, x= 30 or 20
as Per question sum of their reciprocal is 1/12
so 50 + 1/(50-x) = 1/12
(50-x+x)/x(50-x) = 1/12
=50/50x-x^2 = 1/12
=50x-x^2=600
=x^2-50x+600=0
=(x-30)(x-20) = 0
so, x= 30 or 20
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