Question

if the same number is added to both the numerator and denominator of a fraction 1/5 the result is one half. Find the number added

Answer 1

Answer:

Let the number be x.

According to the given condition, we have

5+x

3+x

=

4

3

⇒4(3+x)=3(5+x) ....[By cross-multiplication]

⇒12+4x=15+3x

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

⇒x=3