imsmarterthanyou123 imsmarterthanyou123
  • 16-05-2021
  • Mathematics
contestada

What are 3 consecutive multiples of 3 if 2/3 the sum of the first two numbers is 1 greater than the third number?

Respuesta :

bob2998 bob2998
  • 16-05-2021

Answer:

the numbers are 15, 18, 21

Step-by-step explanation:

let the 3 consecutive multiples of 3 be:  

3x, 3(x+1), 3(x+2)

(2/3)(3x + 3(x+1)) =3(x+2)+1

(2 /3)(6x+ 3) = 3x+6+1

2(2x+1) = 3x + 7

4x + 2 = 3x + 7

x =  5

so:

3x = 15

3(x+1) = 18

3(x+2) = 21

the numbers are 15, 18, 21

Answer Link

Otras preguntas

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple
Please help , 10 extra points
Prove that 6+7 root 2 is irrational
As a charged object approaches a neutral object the objects....... attract spin repel no interaction
approximate the value of √5 to the nearest hundredth
If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00, find the discount on 1/2 dozen
Can someone please help me with this?
[tex]5x^{3} * 2x^{2}[/tex]
The slope of the line below is -4 use the coordinates of the labeled point to find a point equation of the line
g The adjusted trial balance of Pacific Scientific Corporation on December 31, 2021, the end of the company's fiscal year, contained the following income statem