+0

# Math problem

0
50
1

If a and b are positive integers for which ab-6a+5b=15, what is the minimal possible value of |a-b|?

Jan 5, 2022

#1
+13036
+1

What is the minimal possible value of |a-b|?

Hello Guest!

$$ab-6a+5b=15\\ b(a+5)-6a=15\\ b=\frac{15+6a}{5+a}$$

$${\color{blue}5}=\dfrac{15+6\cdot {\color{blue}10}}{5+{\color{blue}10}}$$

The minimal possible value of |a-b| is 5.

!

Jan 5, 2022
edited by asinus  Jan 5, 2022