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 some examples of postal delays that have created problems for Americans?
Will be marked brainliest Say something nice to me
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48.
-What is cultural diffusion? - What is cultural convergence? - What is globalization?
A, B and C are service stations AB= 25 miles BC= 25 miles Aysha drives along the motorway from A to C Aysha drives at an average speed of 50 mph from A to B.
1. How did the Industrial revolution affect the economy ?
Read this additional information about the costs and benefits of healthy lunch programs, and identify the pros and cons that are discussed. Decision: change the
4. What are the three steps to the Dream Act Congress introduced in July 2017?
What is the volume of a cylinder with a height of 5ft and a radius of 2ft
The candidate began to hedge while talking about his recent actions. 1.Take an insincere position for political gain 2. avoid giving a direct answer or firm com