If 5 times the smaller of two numbers is subtracted from twice the larger the result is 16. If the larger is increased by 3 times the smaller, the result is 63. Find the numbers.

3 answers

let
a = smaller
b = larger

2b - 5a = 16
b + 3a = 63

2b - 5a = 16
2b + 6a = 126

11a = 110
a = 10
b = 33
If THREE times the smaller of two numbers is subtracted from twice the larger, the result is -1. If the larger is increased by two times the smaller, the result is 24. Find the numbers.
Let
sm=a*3=3a
lg=b*2=2b
2b-3a=-1-----eqn 1
b+2a=24----eqn2, then
a=7
b=10.