SOLUTION: The first of three numbers exceeds twice the second number by 4, while the third number is twice the first. If the sum of the three numbers is 54, find the number. thanks to th

Question 91631: The first of three numbers exceeds twice the second number by 4, while the third number is twice the first. If the sum of the three numbers is 54, find the number.
thanks to the person who will help me solve this question
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
:
The three numbers: x, y, z
Write an equation for each statement:
:
"The first of three numbers exceeds twice the second number by 4,"
x = 2y + 4
:
"the third number is twice the first."
z = 2x
:
"If the sum of the three numbers is 54,"
x + y + z = 54
:
find the number.
Try to get everything in terms of y:
z = 2x
Substitute (2y+4) for x (1st equation)
z = 2(2y+4)
z = (4y + 8)
:
In the 3rd equation substitute for x and z
x + y + z = 54
(2y+4) + y + (4y+8)
7y + 12 = 54
7y = 54 - 12
7y = 42
y = 42/7
y = 6
:
You should be able to find the values of x & z, using the above equation.
Check your solutions in the 3rd equation.
:
Any questions?
RELATED QUESTIONS
The first of three numbers exceeds twice the second number by 4, while the third number... (answered by checkley77)

The first of three numbers exceeds twice the second number by 4, while the third number... (answered by plover,MathTherapy)

The first of three numbers exceeds twice the second number by 4, while the third number... (answered by mananth)

The first of three numbers exceeds twice the second number by 4, while the third number... (answered by palanisamy,vksarvepalli)

The first of the three numbers exceeds twice the second number by 4. The third number is... (answered by ikleyn)

Please help me to solve this: The first of the three numbers exceeds twice the second... (answered by ikleyn)

The second of three numbers is 2 more than the first. The third number is twice the... (answered by josgarithmetic)

Th second of the three numbers is 2 more than the first. The third number is twice the... (answered by ankor@dixie-net.com)

The second of three numbers is 1 less than the first. The third number is 5 less than... (answered by lwsshak3)