Two numbers have a sum of 22 and a difference of 6. find the two numbers.

Let the bigger number be x and the smaller one be y

Two numbers have a sum of 22
x+y = 22
y= 22 -x (1)

The difference is 6
x - y = 6 (2)

Sub (1) into (2):
x - (22 - x) = 6
x - 22 + 2 = 6
2x - 22 = 6
2x = 6 + 22
2x = 28
x = 14 Sub into (1)

y= 22 -x 
y = 22 -14
y = 8

One of the number is 14 and the other is 8

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