4) If the sum of two numbers is 40 and the difference between them is 14 then find the number.
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Answer:
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Step-by-step explanation:
This can be solved using a system of equations, where x is the first number and y is the second number.
x + y = 40
x - y = 14
Combine the two equations via elimination and solve for x.
(2x)/2 = 54/2
x = 27
Now substitute x into either of the original equations.
(27 + y) - 27 = 40 -27
y = 13
(27 - y) - 27 = 14 - 27
(-y)(-1) = -13 (-1)
y = 13
The two numbers that add up to 40 and have a difference of 14 are 27 and 13, respectively.
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