Question

The sum of three numbers is 8. twice the smaller is 2 less than the largest, while the sum of the largest and smallest is 5. use a linear system in three variables to find the three numbers.

Answer 1

X + Y + Z = 8
2x = Z - 2
X + Z = 5
X = 1
1 + Y + Z = 8
Y + Z = 6
1 + Z = 5
Z = 4
1 + Y + 4 = 8
5 + Y = 8
Y = 3
The variables are 1, 3, 4.