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

find the coordinates of the x- and y- intercepts of the line with the equation 4x+3y=60
-4 -4 -3 3 3 -5 -5 2 -5
why can we see a red shirt
The sound produced by the speakers at a rock concert has a power of 0.181 W. What sound intensity do you hear when you are standing 20.5 m away?
The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?
What is the area of this trapezoid? 86 in² 112 in² 148 in² 184 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point
Queen Liliuokalani: a. forged a partnership with Dole Pineapple Corp. that went awry b. opposed the Americanization of Hawaii c. welcomed American sugar planter
When purchasing a mobile computer, you should determine the form factor that meets your needs. What is a form factor?
Preparing an outline is a good method of organization. True False
If f(x) = 4x + 7 and g(x)=x² +6, find (f* g)(x)​