I suck at Math Word problems and need help?

Question

The sum of three numbers is 90. The largest number is three times the smallest and the smallest is 10 less than the middle number. Find the area of a circle with a diameter equivalent to the middle number.

Here is what I get stuck at
I write out the equation
X+Y+Z =90

X=Y-10
Z = 3X
And then I just cant figure it out from there

Answer 1

X+Y+Z =90

X=Y-10
Z = 3X

X + (X+10) + (3X) =90
5X = 80
X = 16

Y = 26
Z = 48

Area = pi * diam = pi * 26

Answer 2

Plug stuff into the initial equation. Y-10+Y+3(y-10)=90
Distribute y-10+y+3y-30=90
Combine like terms 5y-40=90
take the (40) to the other side 5y=130
divide by five y=26
now take that and find the other values.
X=y-10
x=26-10
x=16

Z=3x
z=3(16)
z=48

so you get z=48, x=16, and y=26.

now check it using the info given. the largest is three times the smallest. well 16 times 3 is 48, so thats right. and the smallest is 10 less than the middle number. well 16 is ten less than 26 so thats right.

Answer 3

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Answer 4

x + y + z = 90
z = 3x so
x + y + 3x = 90
x = y -10
so y = x +10
x + (x + 10) + 3x = 90
5x + 10 = 90
5x = 80
x = 16
y = 26
z = 48

Answer 5

M is middle
M - 10 is smallest
3(M - 10) is largest, and

M + M - 10 + 3(M - 10) = 90
5M - 40 = 90
5M = 130
M = 26
smallest = 16
largest = 48