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What are the two numbers if the sum is 29 and the difference between the number is 17?
The two numbers are 23 and 6.
Let:
x = first number
y = second number
x + y = 29 (Equation 1)
x - y = 17
x = 17 + y (Equation 2)
Substitute Eq. (2) in Eq. (1):
x + y = 29
(17 + y) + y = 29
17 + 2y = 29
17 -17 + 2y = 29 - 17
2y = 12
2y/2 = 12/2
y = 6 - second number
x = 17 + y
x = 17 + 6
x = 23 - first number
check.
23 - 6 = 17
17 = 17
Therefore, the two numbers are 23 and 6.
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