Two Numbers with a Sum of 1,656 and a Difference of 240

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 =  
1,656 + 240/2

x =  
1,896/2

x =  948
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 =  
1,656 − 240/2

y =  
1,416/2

y =  708
Therefore, the two Numbers are 948 and 708
Check Sum of the two Numbers:
11
948
708
1656
948 + 708 = 1,656 ✓
Check Difference between the two Numbers:
948
708
240
948 − 708 = 240 ✓

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

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