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

Pistachios were priced at 3 pounds for $ 6.99. (a) what were the price per pound? (b) how much would 10 pounds of pistachios cost?
why did the citizens of Richmond, Virginia feel upset about the actions at Fort Sumter ?
An element with mass 1000 grams decays by 14.8% per minute. How much of the element is remaining after 11 minutes, to the nearest 10th of a gram?
What is the state at which a net force is zero called
A 3.7 kg object is lifted to a Hight of 3 meters what is the potential energy of this object
What what handels full name
in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series
What Is the National Prohibition Act?
How do tussock moths obtain energy in cellular respiration?
What what handels full name