Math, asked by sweet12345678, 1 year ago

50 is divided into two parts such that the sum of their reciprocal is 1/12. find the two parts . with full soluction

Answers

Answered by sapnadudeja20

See the attachmentgiven below

Attachments:

tahavora2003: if we add this both 1/x+1/50-x=1/12

tahavora2003: and taking the LCM

tahavora2003: so equation would be 50/50x-xsquare

tahavora2003: =1/12

tahavora2003: then cross multiply it

tahavora2003: the rohit ans is write

RohitSaketi: yup

sweet12345678: thankuuu

RohitSaketi: ur most welcome

sweet12345678: plzzz give me more question answer

Answered by RohitSaketi

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

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