Answer:
Step-by-step explanation:
Let the number = x
So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.
You can write this as:
[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]
Then you want to get rid of the fractions so multiply both sides by 3-x
[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]
Then multiply both sides by 7
[tex]7( 5 - x) = 5 ( 3 - x)[/tex]
Multiply it out.
35 - 7x = 15 - 5x
Add 7x to both sides:
35 = 15 - 5x + 7x
35 = 15 + 2x
Subtract 15 from both sides
35 - 15 = 2x
20 = 2x
To find x, divide both sides by 2.
x = 10.
