brandyjune1364 brandyjune1364
  • 02-09-2017
  • Mathematics
contestada

Find three consecutive even integers such that the sum of the smallest integer and twice the median is 20 more than the largest integer

Respuesta :

shinmin
shinmin shinmin
  • 15-09-2017
Let x, x+2 & x+4 be the 3 integers.

x + 2 (x+2)= (x+4)+20

x + 2x + 4 = x + 4 + 20

3x + 4 = x + 24

3x - x = 24 - 4

2x = 20

x = 20/1

x=10 ans. for the smallest integer.

10 + 2 = 12 for the middle integer.
10 + 4 = 14 ans. for the largest integer.

To check:
10 + 2*12 = 14 + 20
10 + 24 = 34
34 = 34
Answer Link

Otras preguntas

Which shows 5.45 written as a mixed number?
In Latin America, what did land reform accomplish?
You are conducting an experiment with phosphorus and nitrogen being added to the soil of a growing plant. When the amount of added nitrogen is increased, the
What does el muslo mean?
literary images are enhanced by the use of _______ language.
Find the distance between two parallel lines: x = 11 and x = 5.
how long is 63 months in years?
solve the proportion2x + 1/x + 1 = 14/3x-1
how much sperm does it take to make a baby?
Which of the following nutrient cycles has its largest reservoir in the atmosphere? A) Carbon cycle B) Nitrogen cycle C) Potassium cycle D) Phosphorus cycle E)