Answer: the two numbers are 6 and 11.
Set up the individual equation according to the verbal statements:
A positive number is 5 less than another positive number:
a = b - 5 (this also implies that a<b)
Six times the lesser number minus 3 times the greater number is 3.
[tex]6 a -3 b = 3[/tex]
Find the two positive numbers.
This is a system of linear equations - solve for a and b:
[tex]6(b-5)-3b=6b-30-3b=3b-30=3\\3b=33\\b=11\\\rightarrow a=11-5 = 6[/tex]
