Question

the sum of two integers is greater than 23. one integer is 5 less than 3 times the other. what are the least values of the integers?

Answer 1

x + y > 23

y = 3x - 5

24 is the smallest integer greater than 23
so use x + y = 24

Rearrange
y= 24 - x

Now substitute into the other equation
24 - x = 3x - 5

Solve
29 = 4x
x=7.25 -> not an integer, round down since you want the least value

x=7

y= 3(7) - 5

y= 16