Question

Eugene wrote a riddle: A positive number is 5 less than another positive number. Six times the lesser number minus 3 times the greater number is 3. Find the two positive numbers.

Answer 1

N-5=m
6m-3n=3
6(n-5)-3n=3
6n-30-3n=3
3n=33
n=11
m=6
just use substitution to plug in m in terms of n and solve