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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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