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

please help! im almost done
Karen reads a book at a rate of 34 chapters per hour. How many chapters does she read in 2 hours?​
All of the following are functions of the skeletal system EXCEPT: A. producing red blood cells B. providing support for the body C. producing white blood cells
solve pls brainliest
What roles do species plan in ecosystem?
The artist who created the cartoon above is arguing that women should be granted the right to vote because: A. it will lead to suffrage for all races. B. it is
What do the dates next to nearly all sections of the wall show? (The great wall of china)
!??????!!!!????!!!!?!!!????
what is the advantages of education today in pandemic effect​
Galveston was the first Texas city to have: A ______ B ______ C_______