mathematics-Algebra

I think of two whole numbers;the product of the average of the sum and difference of the numbers and the difference of the sum and difference of the numbers is 12.if three times the first added to the second makes up 11..find the two numbers

please show workings
#thanks

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asked by p1
  1. just put the words into math:
    If the numbers are x and y, then
    sum: x+y
    difference: x-y

    avg of sum and difference: ((x+y)+(x-y))/2 = x
    diff of sum & diff: (x+y)-(x-y) = 2y

    product is thus 2xy=12
    3x+y=11

    even with no further algebra, it is easy to see that
    x=3 and y=2

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    posted by Steve
  2. 5

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    posted by ben

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