Question

Find the two numbers whose sum is54 and whose difference is 4

Answer 1

Sum of 54: X + Y = 54
Difference is 4: X - Y = 4

Solve for one variable first.

X = 4 + y (rewritten from second equation)

Now plug into the first equation for x

4 + y + y = 54
4 + 2y = 54 (subtract 4)
2y = 50 (divide by 2)
Y = 25

Now use Y to solve for X

X - 25 = 4 (add 25 on each side)
X = 29

Answer 2

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Explanation:

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