natalievineyard20
natalievineyard20 natalievineyard20
  • 04-09-2019
  • Mathematics
contestada

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 492, find the numbers.​

Respuesta :

calculista
calculista calculista
  • 15-09-2019

Answer:

The numbers are 56, 280 and 156

Step-by-step explanation:

Let

x -----> the first number

y ----> the second number

z ----> the third number

we know that

y=5x -----> equation A

z=x+100 ----> equation B

x+y+z=492 ----> equation C

Solve the system of equations by substitution

substitute equation B and equation A in equation C and solve for x

x+5x+x+100=492

7x=492-100

7x=392

x=56

Find the value of y

y=5x -----> y=5(56)=280

Find the value of z

z=x+100 ----> z=56+100=156

therefore

The numbers are 56, 280 and 156

Answer Link

Otras preguntas

is the earth getting heavier
find the slope of the line described by x - 3y =-6.
two trains leave stations 408 miles apart at the same time and travel toward eachother. one train travels at 95 miles per hour while the other travels at 75 mil
there is $100 in my piggy bank. My friend and I went to the mall and i spent $20. How much money do i have now?
which is an example of an intentional injury
how do I solve for x in x^2 - 8x + 12 = 0 using factoring?
once the delegates determined the three fifths compromise what issue did they tackle next?
PLEASE HELP IS THE OLD YELLER !!!!!!!!!!!! When does Mrs. Coates first demonstrate that she recognizes Travis is taking on his father's role? A. when Travis go
Divide and express the result in standard form. 8/7-i
Brody added a fraction to 5/6 to get 31/30. Use the equation a/b + c/d = (ad +bc)/ bd to find the fraction he added