jaztbrown6427 jaztbrown6427
  • 24-02-2021
  • Mathematics
contestada

Find three consctive postive integers such that the prodect of the median integer and the largest integer is 72

Respuesta :

topeadeniran2 topeadeniran2
  • 25-02-2021

Answer: 7,8,9

Step-by-step explanation:

Let the numbers be a, a+1 and a+2. Therefore, based on the question, this will be:

= (a + 1)(a + 2) = 72

a² + 2a + a + 2 = 72

a² + 3a + 2 - 72 = a

a² + 3a - 70 = 0

a² + 10a - 7a - 70 = 0

a(a + 10) - 7(a + 10)

a - 7 = 0

a = 7

Since a = 7

a + 1 = 7+1 = 8

a + 2 = 7+2 = 9

The numbers are 7,8 and 9

Answer Link

Otras preguntas

Read this excerpt from The Narrative of the Life of Frederick Douglass. I am strongly tempted to give the names of two or three of those little boys, as a testi
What geographic obstacles has China had to overcome?
P(A) = 1/2 P(B) = 1/3 If A and B are independent, what is P(A ∩ B)?
Can someone help me please
A boat travels 50 miles downstream in 2 hours and it takes 5 hours to travel back upstream. What is the speed of the boat if it were in still water and what is
England and France produce cheese and bread. England has a competitive advantage in cheese production. France has a competitive advantage in bread production. I
[tex]20-x-x^{2}[/tex] solve this equation by class 9 course
Which statement about income is not true? A. Income should increase over your career. B. Income is part of a budget. C. Income can come from multiple sources. D
Which is one advantage of learning a trade compared to attending a four-year college? A. Learning a trade requires more time in an academic setting. B. Learning
Solve log (3x + 4) = log (x – 2) + 3 log 2