the difference of two numbers is eighteen. if five more than twice the smaller number is three less than the larger number, fond the two numbers

X = 31

Y = 13

Step-by-step explanation:

X = larger number

Y = smaller number

x = 2y + 5 y = x - 3

x - y = 18

2y + 5 - y = 18

Combine like variables:

y + 5 = 18

Solve for y:

y + 5 - 5 = 18 - 5 y = 13

Solve for x:

X = 2y + 5 X = 2 (13) + 5 X = 31

Check:

31 - 13 = 18