Define variables:
Let x = larger number and y = smaller number
Resulting system of equations:
x + y = Sum
x − y = Difference
Solve the system of equations for x (larger number):
x =
Find x by substituting given Sum and Difference into equation for x and simplify:
x =
x =
x = 1.49
Solve the system of equations for y (smaller number):
y =
Find y by substituting given Sum and Difference into equation for y and simplify:
y =
y =
y = 0.75
Therefore, the two Numbers are 1.49 and 0.75
Check Sum of the two Numbers:
1.49 + 0.75 = 2.24 ✓
Check Difference between the two Numbers:
1.49 − 0.75 = 0.74 ✓
Let x = larger number and y = smaller number
Resulting system of equations:
x + y = Sum
x − y = Difference
Solve the system of equations for x (larger number):
x =
Sum + Difference/2
Find x by substituting given Sum and Difference into equation for x and simplify:
x =
2.24 + 0.74/2
x =
2.98/2
x = 1.49
Solve the system of equations for y (smaller number):
y =
Sum − Difference/2
Find y by substituting given Sum and Difference into equation for y and simplify:
y =
2.24 − 0.74/2
y =
1.5/2
y = 0.75
Therefore, the two Numbers are 1.49 and 0.75
Check Sum of the two Numbers:
| 1 | 1 | |||
| 1 | . | 4 | 9 | |
| 0 | . | 7 | 5 | |
| 2 | . | 2 | 4 |
Check Difference between the two Numbers:
| 0 | 14 | |||
| 1 | . | 4 | 9 | |
| − | 0 | . | 7 | 5 |
| 0 | . | 7 | 4 |
