Question

Consider the following situation. If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Let x represent the unknown number. Write an equation in terms of x that represents the given situation. Find the number.

Answer 1

Answer:

In math terms that means:

$\frac{x+3}{x-7}=4$

If we cross multiply we got:

$x+3 = 4x -28$

And solving for x we got:

$28+3=31 = 3x$

$x =\frac{31}{3}= 10.333$

Step-by-step explanation:

For this problem we can set x a the value of interest and we need to do this: If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Let x represent the unknown number.

In math terms that means:

$\frac{x+3}{x-7}=4$

If we cross multiply we got:

$x+3 = 4x -28$

And solving for x we got:

$28+3=31 = 3x$

$x =\frac{31}{3}= 10.333$