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If you mean two numbers whose product equals 800 and have a difference of 7 then let them be a and b with a being greater than b.
ab = 800 therefore b = 800/a
And, a - b = 7
Substituting for b we have, a - (800/a) = 7
Multiplying throughout by a gives : a2 - 800 = 7a
Which we can write as, a2 - 7a - 800 = 0
Which factors as, (a - 32)(a + 25) = 0
Just taking the positive number solution when (a - 32) = 0, that is a =32 and so b = 25........and these are the two required numbers.
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