SOLUTION: Find two numbers whose sum and difference is 39 and 7

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Question 1062764: Find two numbers whose sum and difference is 39 and 7
Answer by math_helper(2461) About Me  (Show Source):
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+x+%2B+y+=+39++
+x+-+y+=+7+ (x is assumed to be the larger number)
Add the two equations to get:
++2x+%2B+0y+=+46+
Divide both sides by 2:
++x+=+46%2F2+=+23+
Solve for y: +23+-+y+=+7+ —> +y+=+16+
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Ans: the two numbers are +highlight%2823%29+ and +highlight%2816%29+
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Check: 23+16 = 39 (ok)
23-16 = 7 (ok)

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Solution using just one variable 'x'
x + (x-7) = 39
2x - 7 = 39
2x = 46
x = +highlight+%2823%29+
x-7 = +highlight%2816%29+