Posted by **Mandy** on Tuesday, November 22, 2011 at 8:04am.

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

- Mathematics -
**drwls**, Tuesday, November 22, 2011 at 8:12am
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.

- Mathematics -
**Dr Russ**, Tuesday, November 22, 2011 at 8:22am
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

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