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

## Answer this Question

## Related Questions

- math - Mr burr the head custodian is working on putting new numbers on 42 of the...
- Advanced Math - 1.Tasha believes that she can rewrite the difference 120-36 as a...
- Reiny! Reiny! Reiny! Answer Check and HW Help! - Translate to a system of ...
- Maths- Proof - The question is: Prove algebraically that the difference between ...
- Algebra - kaylin throws two dice. the difference in face value between the two ...
- algebra - Stacey throws two dice. The difference in face value between the two ...
- math-word problems with quadratics - I have 5 questions... 1) The sum of two ...
- Math - Suppose you have two numbers. The difference of the two numbers is 12. ...
- Mathematics - Two numbers have thousandths other than zero. Could the difference...
- Math - When factoring a trinomial that is in the format Ax^2 + Bx + C, the ...