Two Numbers with a Sum of 2 and a Difference of 1

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 =  
2 + 1/2

x =  
3/2

x =  1.5
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 − 1/2

y =  
1/2

y =  0.5
Therefore, the two Numbers are 1.5 and 0.5
Check Sum of the two Numbers:
1
1.5
0.5
2.0
1.5 + 0.5 = 2 (trailing zero and decimal point are dropped) ✓
Check Difference between the two Numbers:
1.5
0.5
1.0
1.5 − 0.5 = 1 (trailing zero and decimal point are dropped) ✓

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

Curated Videos