Question

3. The denominator of fraction is greater than the numerator
by 8. If the numarator is increased by 17 and
denominator is deseabed by 1, the number obtained
is 3/2. find the fraction.
​

Answer 1

Answer:

13 / 21

Step-by-step explanation:

Let the numerator be a, and hence, denominator should be 8 more than a.

So, fraction is a / ( a + 8 )

  According to question: when numerator is increased by 17 and denominator is decreased by 1, new fraction is 3/2:

⇒ { a + 17 } / { a + 8 - 1 } = 3/2

⇒ 2( a + 17 ) = 3( a + 7 )

⇒ 2a + 34 = 3a + 21

⇒ 34 - 21 = 3a - 2a

⇒ 13 = a

 Hence the required fraction is a/(a+8) = 13/(13+8)

Required fraction is 13/21