# Mathematics

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

1. 👍 1
2. 👎 2
3. 👁 1,181
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.

1. 👍 1
2. 👎 2
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

1. 👍 0
2. 👎 1
3. Nothing makes sense you didn't explain it properly at all this website dosn't help and it wasted my time trying to understand everything keep trying.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### Education and technology

1. What function would you use to find the mean in a microsoft(R) excel document a=ROUND b=AVERAGE c=SUM d=HYPERLINK 2. What is the first thing you should do to find the mean and range of data? a=put the numbers in order from

2. ### Calculus

Find two numbers whose difference is 132 and whose product is a minimum.

3. ### Math

1. Which expression is equivalent to (-2)(a+6)? A. -2a+6 B. 2a+12 C. -2a-12*** D. -2a+12 2. To which sets of real numbers does the number -22 belong? Choose all subsets that apply. (There's two right answers) Whole Numbers

4. ### algebra

Are the following true or false? 1. The difference of two natural numbers is always a natural number. 2. The sum of two natural numbers is always a natural number. 3. The quotient of two natural numbers is always a natural number.

1. ### math

the sum of two numbers exceeds their product by one. their differences is equal to their product less five . find the two numbers

2. ### math

A. Find 3 pairs of numbers for which the least common multiple equals the product of the the 2 numbers. B. Look at the pairs of numbers you found in part a. What is true about all 3 pairs of numbers?

3. ### maths - HCF

The product of HCF and LCM of two numbers is 119. Find the two numbers if one of the numbers is not 1. Please help me to solve this.

4. ### Calculus

The product of 2 positive numbers is 48. find the value of the numbers if the sum of one of the numbers and the cube of the other is a minimum.

1. ### algebra

Real numbers x and y have a difference of 16 and a product of 23. Find x^2+y^2.

2. ### Advanced Math

1.Tasha believes that she can rewrite the difference 120-36 as a product of the GCF of the two numbers and another difference.Is she correct?Explain your answer. 2.Explain how to find the GCF of three numbers 3.Xiao's teacher

3. ### maths

the sum of N positive integers is 19. what is the maximum possible product of these N numbers? thx. Nice problem. Let's look at some cases 1. N=2 clearly our only logical choices are 9,10 for a product of 90 It should be obvious

4. ### Math

Question: 1 The product of two positive numbers is 15876 and the large one is 9 times the other. Find the numbers. Question:2 Th sum of the squares of two positive whole numbers is 794. If one of the numbers is 13 , find the