Question

The denominator of a fraction is 30 more than the numerator. The value of the fraction is 3/5. Find the fraction.

Answer 1

`(x)/(x+30)=(3)/(5)\\\\5x=3(x+30)\\5x=3x+90\\2x=90\\x=45\\\\(x)/(x+30)=(45)/(45+30)=(45)/(75)`

Answer 2

45

------

75

Explanation:

Let x be the value of the numerator and x+30 be the value of the denominator

This is equal to 3/5

x 3

-------- = -------

x+30 5

Using cross products

5x = 3(x+30)

Distribute

5x = 3x+90

Subtract 3x from each side

2x = 90

Divide by 2

x = 45

The fraction is

45

-----

30+45

45

------

75