Two Numbers with a Sum of 6 and a Difference of 1.2

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 =  
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
3.6 + 2.4 = 6 (trailing zero and decimal point are dropped) ✓
Check Difference between the two Numbers:
3.6
2.4
1.2
3.6 − 2.4 = 1.2 ✓

The solution above and other related solutions were provided by the Find two Numbers given Sum and Difference Application.

Curated Videos