Question

1. if the same number is added to the numerator and denominator of 3/5, the result is 1/3. find the number

Answer 1

Answer:

The number is 3.

Step-by-step explanation:

Hope it's help you..

Answer 2

Given - Ratio = 3/5

Find - Number

Solution - Let us asume the number to be added to both numerator and denominator be x. So, as per the question, the ratio will be -

$\frac{3 + x}{5 + x} = \frac{1}{3}$

Now, solving the above mentioned expression to find the value of x.

(3+x)*3 = (5+x)

9 + 3x = 5 + x

4 = -2x

x = -2

Thus, the number to be added to both numerator and denominator to get the result 1/3 is -2.

Validating the result -

$\frac{3 + ( - 2)}{5 + ( - 2)}$

$\frac{3 - 2}{5 - 2}$

$\frac{1}{3}$

Thus, -2 is the correct answer.