Question

a fraction is equivalent to 5/8.its denominator and numerator add up to 91.what is the difference between the denominator and numerator.

Answer 1

Answer : $\bold{21}$


Explanation -

Let the numerator = x

Let the denominator = y


Denominator -

Given: It's denominator and numerator add upto 91

x + y = 91

y = 91 - x

So, denominator = y = 91 - x


Form Fraction -


$\dfrac{x}{91 - x} = \dfrac{5}{8}$

8(x) = 5(91 - x)

8x = 455 - 5x

8x + 5x = 455

13x = 455

x = 455/13

x = 35.


Finding Numerator and Denominator -

Numerator - x = 35.

Denominator 91 - x = 91 - 35 = 56.


Fraction is - 35/56.


Difference- 56 - 35 = 21.