Sunday, March 31, 2013

If we add 1tothe numerator and subtract 1fromthe denominator, a fractionreduces to 1. It becomes1/2 if we only add 1 to the denominator.What is the raction?


Form the pair of linear equations in the following problems, and find their solutions
(if they exist) by the elimination method:
(i) If we add 1tothe numerator and subtract 1fromthe denominator, a fractionreduces to 1. It becomes1/2 if we only add 1 to the denominator.What is the fraction?
Let numerator = x
And denominator = y
Fraction  = x/y
If we add 1tothe numerator and subtract 1fromthe denominator, a fractionreduces to 1
Croos multiply we get
X + 1  = y – 1
x- y =  -2         ……..(1)
It becomes1/2 if we only add 1 to the denominator.
Croos multiply we get
2x   = y + 1
2x- y =  1        ……..(2)
x- y =  -2         ……..(1)
Subtracting equation (1) from equation (2) we get

x  = 3

Substituting this value in equation (1) we get
3– y = - 2
- y =  - 5
Y = 5
Hence our fraction is 3/5

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