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Suppose x is the smaller number then x+9 is the larger.

Then x*(x+9)= 162

or x2 + 9x - 162 = 0

or (x-9)*(x+18) = 0

So: x = 9 giving the solution 9 and 18

OR

x = -18, giving the solution -18 and -9

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Q: The difference between two numbers is 9 and the product of this number is 162find the two numbers?
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