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 = 4.19
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 = 1.81
Therefore, the two Numbers are 4.19 and 1.81
Check Sum of the two Numbers:
4.19 + 1.81 = 6 (trailing zeros and decimal point are dropped) ✓
Check Difference between the two Numbers:
4.19 − 1.81 = 2.38 ✓
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 =
6 + 2.38/2
x =
8.38/2
x = 4.19
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 =
6 − 2.38/2
y =
3.62/2
y = 1.81
Therefore, the two Numbers are 4.19 and 1.81
Check Sum of the two Numbers:
| 1 | 1 | |||
| 4 | . | 1 | 9 | |
| 1 | . | 8 | 1 | |
| 6 | . | 0 | 0 |
Check Difference between the two Numbers:
| 3 | 11 | |||
| 4 | . | 1 | 9 | |
| − | 1 | . | 8 | 1 |
| 2 | . | 3 | 8 |
