Divide 100 in two parts and the sum of the reciprocals of those parts = 1/24.find the parts
 

Asked by yashnrayudu | 22nd Jul, 2014, 10:26: PM

Expert Answer:

l e t space t w o space p a r t s space b e space x space a n d space 100 minus x g i v e n space s u m space o f space r e c i p r o c a l s space i s space 1 over 24 1 over x plus fraction numerator 1 over denominator 100 minus x end fraction equals 1 over 24 fraction numerator 100 over denominator x left parenthesis 100 minus x right parenthesis end fraction equals 1 over 24 2400 equals 100 x minus x squared x squared minus 100 x plus 2400 equals 0 x equals fraction numerator minus b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction equals fraction numerator 100 plus-or-minus square root of 10000 minus 4 cross times 2400 end root over denominator 2 end fraction equals fraction numerator 100 plus-or-minus 20 over denominator 2 end fraction  x equals 60 comma space 40  T w o space p a r t s space a r e space 60 space a n d space 40

Answered by Dharma Teja | 23rd Jul, 2014, 09:07: AM