SOLUTION: Please help me out with this math. The numerator of a fraction is 5 less than its denominator. If 6 is added to the numerator and 4 to the denominator,the fraction is double. What

Question 992166: Please help me out with this math.
The numerator of a fraction is 5 less than its denominator. If 6 is added to the numerator and 4 to the denominator,the fraction is double. What is the fraction?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
The numerator of a fraction is 5 less than its denominator. If 6 is added to the numerator and 4 to the denominator, the fraction is double. What is the fraction?
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Let x be the numerator of the fraction.
Then the denominator is (x+5), according to the first condition, and the fraction is .

According to the second condition, you have an equation

= .

Simplify and solve it:

(x+6)*(x+5) = 2x*(x+9),

= ,

=

This equation has the roots x = 3 and x = -10.

Thus the fractions are = and = = .

The second number does not satisfies the problem condition, while the first does.

But be careful !!!

The fraction satisfies the condition.
The fraction    is the same number, but do not satisfies the condition. So, this problem is, actually, a danger play with words.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Please help me out with this math.
The numerator of a fraction is 5 less than its denominator. If 6 is added to the numerator and 4 to the denominator,the fraction is double. What is the fraction?

Original fraction:
You can do the check!! You'll see after doing the check that is indeed correct!
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