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

4 less than 5 times a number is equal to 11
a number greater than 40 and have 5 in the tenths place
Which of the following best summarizes the impact that farming had on the development of early river valley civilizations?
How was the problem with the 1800 presidential election resolved? A. congress broke a tie between John adams and thomas jefferson. B. All voters had to vote a s
Identify whether the verb in this sentence is an action verb, a being verb, or a compound verb. They are the best pizzas in town. action being compound
name a 2 digit number that is a odd that is prime
Which two concepts explain how the body moves?
how is the telegraph you made like the one morse made?
important innovations and discoveries contributing to change during the Neolithic revolution
Which of the following best summarizes the impact that farming had on the development of early river valley civilizations?