if three times the larger of two numbers is divided by the smaller we get the
quotient 6 and reminder 6.
Let L be the larger and S be the smaller:
6
S)3L
6S
6
So 3L-6S = 6
Divide through by 3
L-2S = 2
if 5 times the smaller is divided by the larger we get quotient 2 remainder 3.
2
L)5S
2L
3
So 5S-2L = 3
So solve the system of equations.
Now you can finish.
Edwin