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 = 3.6
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 = 2.4
Therefore, the two Numbers are 3.6 and 2.4
Check Sum of the two Numbers:
3.6 + 2.4 = 6 (trailing zero and decimal point are dropped) ✓
Check Difference between the two Numbers:
3.6 − 2.4 = 1.2 ✓
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 + 1.2/2
x =
7.2/2
x = 3.6
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 − 1.2/2
y =
4.8/2
y = 2.4
Therefore, the two Numbers are 3.6 and 2.4
Check Sum of the two Numbers:
1 | |||
3 | . | 6 | |
2 | . | 4 | |
6 | . | 0 |
Check Difference between the two Numbers:
3 | . | 6 | |
− | 2 | . | 4 |
1 | . | 2 |