Question

a fraction become 1÷3 when 1 is substract from the numerator and it become1÷4 when 8 is added to its denominator . find the fraction​

Answer 1

Let the fraction be x/y
A.TQ
1st condition,
x-1/y = 1/3

2nd condition,
x/y+8 = 1/4

3x-3 = y
3x-y = 3 (eq.1)

4x = y+8
4x-y = 8 (eq.2)

By elimination method
By adding the both equation we get
= -x = -5
x = 5

putting the value of X in equation 1
3(5)-y = 3
15-y = 3
-y = 3-15
-y = -12

y = 12

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Let the fraction be X/Y
A.T.Q
1st condition,
x-1/y+2 = 1/2

2nd condition,
x-7/y-2 = 1/3


2x-2 = y+2
2x-y = 4 (eq.1)

3x-21 = y-2
3x-y = 19 (eq.2)

By elimination method [my fav :-) ]

By adding both the equation we get

-x = -15
x = 15

putting the value of X in equation 1

2(15)-y = 4
30-y = 4
-y = 4-30
-y = -26

y = 26

ANSWER