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If 2 is added to the numerator of a fraction it reduces to 1 by 2 and if 1 is subtracted from the denominator IT reduced to 1 by 3 find the fraction

Posted by Kishan Kumar Kumar 6 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Sahil ??? 6 years, 1 month ago

x=3 and y=10

0Thank You

Gaurav Seth 6 years, 1 month ago

Let the fraction be x/y

Given that
x+2/y =1/2 -----> equ i
x/y-1 =1/3 -----> equ ii

From i and ii
2(x+2) =1(y) -------> equ i
3(x) =1(y-1) -------> equ ii

=> 2x+4=y
3x=y-1

Subtract i and ii. we get

2x - y = -4
3x - y = -1
(-) (+) = (+)
______________
-x = -3
_____________

=> x=3
subtitute x=3 in equ i. we get

2(3+2)=y
=> 2(5) =y
=> y=10

Therefore the value of x and y are 3 and 10 respectively.

0Thank You

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