Question

The numerator of a fraction is 2 less than the denominator. If 1is added to its denominator, it becomes 1\2,find the fraction

Answer 1

GIVEN : -

The numerator of a fraction is 2 less than the denominator.

If one is added to its denominator it becomes 1/2 .

TO FIND :-

The Fraction

SOLUTION :-

Let the numerator be x.

Then the fraction is -

$\frac{x}{x + 2}$

Now according to the Question ,

$\frac{x}{x + 2 + 1} = \frac{1}{2} \\ \\ \\ \implies \frac{x}{x + 3} = \frac{1}{2} \\ \\ \\ \implies 2x = x + 3 \\ \\ \\ \implies \boxed{ x = 3}$

Therefore the Fraction is 3/5 (Ans)

VERIFICATION :-

LHS

=3/5

=3/(5+1)

= 3/6

= 1/2

= RHS

HENCE OUR ANSWER IS CORRECT

Answer 2

Heyaa☺

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Given,

1 is added to its denominator, it becomes 1/2.

let,Numerator be X.

i.e,

x / x + 2.

X / X + 2 + 1 = 1/2

X / X + 3 = 1/2

[ cross multiplication]

2X = X + 3

=》 X = 3

Numerator = 3

Denominator = 5.

➡The fraction is 3/5 as the numerator of a fraction is 2 less than the denominator.

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Hope you understand..✌