Question

the denominator of a fraction is 5 more than the numerator .If 3 is added to both the denominator and numerator the fraction becomes 2/3 find the fraction​

Answer 1

Answer:

7/12

Step-by-step explanation:

n+3/n+5+3 = 2/3

3n+9 = 2n+16

n = 16-9

n = 7

d = n+5 = 7+5 = 12

n/d = 7/12

Answer 2

STEP-BY-STEP EXPLANATION:

.

Let's,

• The Numerator be x.

So,

• The Denominator should be x + 5.

After Adding 3 to Both,

$:\implies\tt \frac{x + 3}{(x + 5) + 3} = \frac{2}{3} \: \: \\ \\ :\implies\tt \frac{3(x + 3)}{x + 5 + 3} = 2 \: \: \: \: \: \: \: \\ \\ :\implies\tt \frac{3x + 9}{x + 8} = 2 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\:\implies\tt 3x + 3 = 2(x + 8) \\ \\ :\implies\tt 3x + 3 = 2x + 16 \: \:$

$:\implies\tt 3x - 2x = 16 - 9$

$:\implies\tt x = 7$

So,

• $The \: \: fraction \: \: is \: \: \frac{7}{12} .$

VERIFICATION,

• The Denominator 12 is 5 more than The Numerator 7.

After Adding 3 to Both,

• The fraction becomes 10/15.

And,

• 10/15 is Equivalent to 2/3.

So,

• 7/12 is fraction.

.

.

REQUIRED ANSWER,

.

• $The \: \: fraction \: \: is \: \: \frac{7}{12} .$