I was going over a question and I wanted your opinion(s) on it:
The product of two numbers is 6 and one of the numbers is 5 less than the other. What is the absolute value of the sum of the two numbers?
The numbers I got are 1 and -6 because $b(b+5)=6$. Now the sum of absolute values would be $|1-6|$, right, so 5? According to the book the answer is 7. Apparently the book expects me to do $|1| + |-6| = 7$. Am I right and the answer in the book is wrong?
Edit: It seems my numbers are wrong, here is how I got them. Please correct me if I am wrong.
$$(b+5)(b) = 6$$
so I get $$b^2 + 5b -6 = 0 $$
$b= 1$ and $b=-6$ by solving the quadratic equation.