Question

If the same number is added to both the numerator and denominator of a fraction 3/5 then the result is 3/4. Find the number.

Answer 1

Answer:

The number is 3.  

Step-by-step explanation:

Let the number be x.

According to the given condition, we have

5+x / 3+x  =  3/4  

⇒4 (3+x) = 3 (5+x) ...[By Transposing]

⇒12+4x = 15+3x

⇒4x−3x = 15−12 ....[Transposing 3x to LHS and 12 to RHS]

⇒x=3

Answer 2

Given:

When the same number is added to both the numerator and denominator of a fraction 3/5 then the result is 3/4.

To find:

The number that is added.

Solution:

Let the number be x that is added to both numerator and denominator of a fraction 3/5.

Now according to question, we have

$\frac{3 + x}{5 + x} = \frac{3}{4}$

By transposing, we have

$12 + 4x = 15 + 3x$

On solving both sides, we get

$x = 3$

Hence, when 3 is added to both numerator and denominator of a fraction 3/5, the result will be 3/4.