Question

The sum of two numbers is $30$. the difference of twice the larger number and three times the smaller number is $5$. what is the positive difference between the two numbers?

Answer 1

X+y=30
2x-3y=5

y=30-x

2x-3(30-x)=30
2x-90+3x=30
5x=120
x=24

y=30-x
y=30-24
y=6

The positive difference between the two numbers is 18.