The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers. Explain your working

Answer 1

Let x be the larger number
x*(x-9) = 162

Rearrange and factor
x^2 - 9x -162 = 0
(x+9)(x - 18) = 0
Take it from there.

There will be two pairs of solutions.

Answer 2

By symbols

A-B=9

AxB=162

so A=9+B

(9+B)B=162

9B+B^2=162

B^2+9B-162=0

so B=-18 or 9

correspondingly from AxB=162

A=-9 or 18

check against A-B=9

-9--18=9

18-9=9

Answer 3

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