ewatkins2233 ewatkins2233
  • 02-12-2019
  • Mathematics
contestada

The sum of three numbers is 129. The third number is 9 less than the first. The second number is 3 times the third. What are the numbers?

Respuesta :

MathPhys
MathPhys MathPhys
  • 02-12-2019

Answer:

33, 72, and 24

Step-by-step explanation:

Let's the three numbers are x, y, and z.

x + y + z = 129

z = x − 9

y = 3z

Solve the system of equations.  Using substitution:

y = 3(x − 9)

y = 3x −27

x + (3x − 27) + (x − 9) = 129

5x − 36 = 129

5x = 165

x = 33

y = 3x − 27

y = 72

z = x −9

z = 24

Answer Link

Otras preguntas

what are the 2 major types of cofactors?
The section of the small intestine between the duodenum and ilium?
There are 23 tables in the library. Each table has 4 chairs. Third grader fill the chairs at 3 tables. Fourth graders fill the chairs at 6 tables. The rest of t
4(3-5)=-2(8-z)-6z what is z
Help PleaSE:) ->Grammar Which sentence has a pronoun with an unclear, missing, or confusing antecedent? A. The lifeguards sat in tall chairs; they could
How well did feudalism establish order in the Middle ages?
20 points People disagree whether the United States should have gone to war against Mexico. Should the United States have declared war? Opinions Please The Unit
how many 1 1/2 centimeter cubes can fit into a rectangular prism that has a length of 12 centimeters , a width of 6 centimeters and a height of 9 centimeters
What Role Does the Sun Play in Producing Winds And Ocean Currents
Why did the American public mostly oppose joining the League of Nations after WWI?