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Divide 50 into two parts so that sum of the reciprocal is 1/12 ?
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- 1/x + 1/(50-x)=1/12
x^2-50x+600=0
x=20,30
then the no.s are 20,30 :) - 10 years agoHelpfull: Yes(15) No(0)
- let two no be x,y
x+y=50 ....eq(1)
1/x+1/y=1/12...eq(2)
x+y/xy=1/12(using eq(1))
xy=600
now, (x-y)^2=(x+y)^2 -4xy
using above
x-y=10.....eq(3)
solving eq(1) & eq(2)
x=30 & y=20 - 10 years agoHelpfull: Yes(7) No(0)
- let one number be x
the other number will be 50-x
1/x + 1/(50-x)= 1/12
50-x+x = x(50-x)/12
600 = 50x-x^2
x^2-50x+600=0
x^2-30x-20x+600=0
x(x-30)-20(x-30)=0
(x-30)(x-20)=0
x= 20 or 30
the numbers are 20 and 30 - 10 years agoHelpfull: Yes(3) No(0)
- 20,30
1/50 + 1/(50-x)= 1/12
on solving the equation we get ans 20,30 - 10 years agoHelpfull: Yes(3) No(0)
- let first part is x
second paret is 50-x
so 1/x+1/(50x)=1/12
sove it got 20,30 - 10 years agoHelpfull: Yes(2) No(0)
- let 1st no=x
so,2nd will b 50-x
now,
A.T.Q
1/x + 1/50-x = 1/12
solving we get x=20 or x=30
so,ans is (20,30) - 10 years agoHelpfull: Yes(1) No(0)
- 30 & 20
1/x + 1/(50-x)=1/12
x^2-50x+600=0
x=20,30
- 10 years agoHelpfull: Yes(1) No(0)
- 1/x+1/50-x=1/12
x^2-50x+600=0
x=20,30
- 10 years agoHelpfull: Yes(0) No(0)
- 1/a + 1/b =1/12
a+b=50
solving we get a*b=50*12
a-b =sqrt[(a+b)^2-4*a*b]= 10
solving a+b,a-b we get
a=30 b=10 - 10 years agoHelpfull: Yes(0) No(1)
- x+y=50
1/x+1/Y=1/12
by solving these two eqn we get 20,30 - 10 years agoHelpfull: Yes(0) No(0)
- 30,20
1/30+1/20=1/12
- 10 years agoHelpfull: Yes(0) No(0)
- 20 and 30 ......
explanation: 1/20+1/30=1/12 - 10 years agoHelpfull: Yes(0) No(0)
- (1/x)+(1/50-x)=(1/12)
by solving
x=20,30.
- 10 years agoHelpfull: Yes(0) No(0)
- 30+20=50
1/30+1/20=1
/12 - 10 years agoHelpfull: Yes(0) No(0)
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