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

The kinetic energy of a substance is the _________ kinetic energy of its particles
9 divided by 16 and please explain on how to get the answer
What is the value of (-4.5) (-8.25) ? Please!
What number is not part of the domain of f(x)= 3/ x+5 (3 over x + 5)
AngleDFG and angleJKL are complementary angles. M angleDFG =x+5, and m angleJKL=x-9. Find the measure of each angle
On a map, 1 inch represents 1,000 miles. If the area of a country is actually 16 million square miles, what is the area of the country’s representation on the
An adult blinks about 450 times in 30 min. A 12 year old blinks about 150 times in 15 min. How many more times does an adult blink in 60 min. than a 12 year old
how do you compare 1/5 and 0.201
A scientist wants to raise the temperature of a 0.10-kilogram sample of glass from –45°C to 15°C. How much heat energy is required to produce this change in te
how does making a model help scientist observe?? HELPP PLEASEEE