Question

The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.

Answer 1

small number = 28/5 or 5 3/5

larger number = 13/5 or 2 3/5

Explanation:

x = small number

y = large number

set up a system of equations:

x - y = 3

3y + 2x = 19

using substitution method:

let x = 3 + y

3y + 2(3 + y) = 19

3y + 6 + 2y = 19

5y + 6 = 19

5y = 13

y = 13/5

solve for x:

x - 13/5 = 3

x = 15/5 + 13/5

x = 28/5