the sum of numerator and denominator of a fraction is 12 if the denominator is increased by 3 the fraction becomes 1/2 then the fraction is
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Let the numerator be 'x'
and the denominator be 'y'
Hence, the fraction be x/y
According to question,
x+y = 12 ............... (1)
x/y+3 = 1/2
2x = y+3
2x-y = 3 ............... (2)
On adding equation (1) and (2)
x+y = 12
2x-y = 3
_______
3x = 15
x = 15/3
x = 5
On putting the value of x in equation (1)
5+y = 12
y = 12-5
y = 7
Therefore, the fraction is 5/7
HOPE it helps!!!!✌✌✌
and the denominator be 'y'
Hence, the fraction be x/y
According to question,
x+y = 12 ............... (1)
x/y+3 = 1/2
2x = y+3
2x-y = 3 ............... (2)
On adding equation (1) and (2)
x+y = 12
2x-y = 3
_______
3x = 15
x = 15/3
x = 5
On putting the value of x in equation (1)
5+y = 12
y = 12-5
y = 7
Therefore, the fraction is 5/7
HOPE it helps!!!!✌✌✌
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3
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