Question

the denominator of a fraction is 4 more than its numerator.on subtracting 1 from each the number and the denominator.the fraction become 1/2.find original fraction

Answer 1

The denominator of a fraction is 4 more than its numerator

so


let numberator be x 

then denomintor is x +4

now,

on subtracting 1 from each the number and the denominator.the fraction become 1/2

lets form an equation

x  - 1/ (x + 4)  -1 = 1/2

x  - 1/ x + 3 = 1/2

lets cross multiply

2(x - 1) = 1(x + 3)

2x - 2 = x +3

2x - x = 2 +3

x = 5

now denominator is x +4

= 5+4 = 9

so fraction is 5/9

:)

Answer 2

Let numerator = x
Denominator = x + 4

$fraction = \frac{x}{x + 4}$

×××××××××××××××××××

When 1 is subtracted from both, fraction becomes 1/2


So,

$\frac{x - 1}{x + 4 - 1} = \frac{1}{2} \\ \\ \frac{x - 1}{ x+ 3} = \frac{1}{2} \\ \\ \\ 2(x -1) = x + 3 \\ \\ 2x - 2 = x + 3 \\ \\ 2x - x = 3 + 2 \\ \\ x = 5 \\ \\ \\ \\ fraction \: = \frac{x}{x + 4} = \frac{5}{5 + 4} = \frac{5}{9}$


Original fraction =5/9





I hope this will help you


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