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

In one hour, 17 cars drive through an intersection. Two-fifths of the 17 cars fail to come to a complete stop at the stop sign. About how many cars do not come
What are three major concepts established by the Declaration of Independence ?
Solve the equation. Check your answer. If necessary, round to 3 decimal places In x = -2, x=
HELP PLEASE HELP SOMEONE PLEASE HELP 10POINTS !!!!!!! ASAP
can someone please help me with this question ASAP.It is due tommorrow.
what is the main reason why leaders created a supreme court
Why else is wrong with this sentence ??
what effect does vaccine on the body​
help! the problem is somewhat like this
Answer as mixed number ( if possible) 1/3 divided by 3/5