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

Patrick and Stewart each buy popcorn at the movies when the movie ends each boy has eaten half of his popcorn Stewart says I've eaten more popcorn how can this
a tiny leaf-like structure inside a seed is a ________?
You can infer from the poem that the Han people highly valued
Give two examples of friction: -being useful in everyday life -being a problem in everyday life
a collection of 30 coins consists of dimes and Nickles the total is 1.80 how many dimes are there
is this correct or need more? but still need help
I Need Help In Spanish . ! Can Someone Please Help
Maintaining good contact in a relationship is also known as the ___ of a relationship
Write a letter/diary/journal that explains why King John is at war with the Barons. This should be half of a page.
What country did Japan defeat in its FIRST foreign war during the Meiji period?