markarianlaura1
markarianlaura1 markarianlaura1
  • 16-02-2019
  • Mathematics
contestada

One of the two positive integers is 5 less than the other. If the product of the two integers is 24, find the integers.

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 16-02-2019

Hello from MrBillDoesMath!

Answer:

3,8

Discussion:

Let "n" and "p" be the two positive integers. Then

n = p - 5   (*)

and

np = 24  (**)

Substituting  (*) in (**) gives

np = 24                            =>    as  p = n+5

n(n+5) = 24                      =>

n^2 + 5n - 24 = 0             =>   factor polynomial (n+8)(n-3)

So n = 3 or -8 but as n is positive, n = 3 Then p  = n + 5 = 8

Check:

Is n (3) 5 less than p (8). Yes

Does np = 3 *8 24. Yes

Thank you,

MrB

Answer Link

Otras preguntas

Questions about the The Night book!!! Please i need help!!! 1. Why do you think Juliek was so worried about his violin? 2. What was ironic about Juliek playing
Please due tomorrow!!!!!!
How did peoples General way of thinking change as a result scientific revolution
Describe one feature of nationalism in the period 1750-1900
can someone please help
An argument that solely relies on logic. What type of argument is this?
Explain what would be the effect of having stratified epithelium in the alveoli of the respiratory system?
The sum of all the positive terms in the geometric sequence 54, -36, 24, -16, ... isA. 32.4B. 97.2C. 121.5D. 162. 1​
plssss help!!!!! #2 #3 #4​
Suppose your friend's parents invest $20,000 in an account paying 6% compounded annually. What will the balance be after 5 years?