Question

The numerator of a fraction is 6 less than the denominator. If 1 is added to both numerator and denominator,it becomes 1|2 ,then the fraction

Answer 1

ANSWER:
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let numerator be x
denominator be y
GIVEN,
numberator is 6 less than the denominator
x=y-6

If 1 is added to both numerator and denominator it becomes 1/2
(x+1)/(y+1)=1/2
(y-6+1)/(y+1)=1/2
(y-5)/(y+1)=1/2
2y-10=y+1
y=11

x=y-6
x=11-6
x=5

Fraction =x/y=5/11

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Answer 2

Heya ☺

Let the denominator of a fraction be x. Then,

numerator = (x - 6)

New numerator formed = (x - 6 + 1)

= (x - 5)

New denominator formed = (x + 1)

According to question,

(x - 5)/(x + 1) = 1/2

=> 2(x - 5) = 1(x + 1)

=> 2x - 10 = x + 1

=> 2x - x = 1 + 10

=> x = 11

Hence , denominator = 11

numerator = 11 - 6 = 5

Fraction = 5/11


Thanks