Question 263056
You are asked to partition 538 into components x, y, and z.
x + y + z = 538
.
That is perhaps the answer to your question, but given the other statements in the problem setup, it seems that you would need to find the values of x, y, and z.
.
The problem states:
x = y +110 or y = x -110
.
y = z + 145 or z = y -145
.
Substituting:
(y+110) + y + (y-145) = 538
Collecting like terms:
3y -35 = 538
Adding 35 to both sides:
3y = 573
Dividing both sides by 3:
y = 191
.
Substituting into our original equations:
x = y + 110 = 191+110= 301
z = y - 145 = 191-145 = 46
.
Checking we have:
301 + 191 + 46 = 538?
Yes it does.
.
So we can say:
x = 301
y = 191
z = 46
.
Done.