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

Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan’s car get per gallon? Write an equation that would solve this problem.
The material conditions of the transition
How many oxygen atoms are represented by the formula Fe(CIO4)3? iron(III) chlorate 3 16 12 4
f (x) = 4x² -4x Find f (-7)
How to start the ms excel​
Cain from Lehman Jackson?
will give brainliest plz help me!
if i fail this again i can’t move on lol
Q12. How much force is applied on the body when 150 joule of workis done in displacing the body through a distance of 10m in thedirection of force?​
the religion of buddhism was founded because