maura2mconroy0547
maura2mconroy0547 maura2mconroy0547
  • 02-03-2017
  • Mathematics
contestada

the sum of three numbers is twenty. the second number is four times the first and the sum of the first and third is eight. what are the three numbers?

Respuesta :

baabaagreysheep
baabaagreysheep baabaagreysheep
  • 02-03-2017
Let's call the three numbers x, y, and z. 


The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so 
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve

5x + z = 20
x + z = 8

5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5

x + z = 8
x + 5 = 8
x = 3

y = 4x
y = 4 × 3
y = 12

I hope this helps!
Answer Link

Otras preguntas

Consider the function shown. f(x) = 3x2 − 15 a. Determine the inverse of f(x).
The triangle on the right is scaled copy of the triangle on the left
What is the value of the expression -5(3 4)? (Distribute)
need help solving for x
Fairfield has one indoor skating rink and one out door skating rink that covers the same amount of total area. Skaters do lap around the perimeter to warm up. O
PLEASE HELPPPPP WILL GIVE BRAINLIEST!!
________ is a decision maker's ability to discover original and novel ideas that lead to feasible alternative courses of action. A.Groupthink B.Dialectical inqu
is our calendar today based of the mayan calendar
What page is the quote “I didn’t want to kill them all. I didn’t want to kill anybody! I’m not a killer! ...’” in Enders Game
How do you recognize a relative clause of characteristic?