the sum of three numbers is 144. the third number is 4 times the first. the second number is 6 more than the first. what are the numbers

Answer 1

Let x,y, & z = the unknowns. Based on the information, the relationships are as follows:

x + y + z = 144

z = 4x

y = x +6

So, substituting into the first equation, we have x + (x + 6) + 4x = 144

or 6x + 6 = 144

Then 6x = 138 So,

x = 23

y = 29

z = 92

Answer 2

X= first unknown number Given: The third number is 4 more than the first. z=4x

y=second unknown number The second number is 6 more than the first y=x+6

z=third unknown number

1. Creating a systems of equations with the given information:

x+y+z=144

z=4x

y=x+6

1. I am going to substitute z and y in the first equation and solve for x.

x + (x+6) +4x=144

6x +6 =144

6x= 144-6

6x= 138

x=23

2.Let find z and y.

z=4x= 4(23) = 92, z=92

3.Let find y, y= x+6= 23+6 =29

Let check our answers .

x+ y+z=144

23+29+92=144, so the answer check⁄