divide 40 into two parts such that the sum of their recipocal is 8/75
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Step-by-step explanation:
Let the first part be 'x'
Therefore Second Part=(40-x)
According to question,
1/x+1/40-x=8/75
=> 40-x+x/40x-x2 =8/75
=> 40/40x-x2 =8/75
=> 3000=320x-8x2
=> 8x2-320x+3000=0
=> x2-40x+375=0
=> x2-25x-15x+375=0
=> x(x-25)-15(x-25)=0
=> x-15=0 or x-25=0
=> x=15 or x=25
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