Divide 534 into three parts such that the second part will be 32 less than twice the first ,and the third will be 18 more than the first.
(x)+(2x-32)+(x+18) = 534
Solve for x, and then the 3 parts.
Let's assume the first part is x.
According to the given information, the second part will be 32 less than twice the first, so the second part is 2x - 32.
The third part will be 18 more than the first, so the third part is x + 18.
Now, we can set up an equation to solve for x:
x + (2x - 32) + (x + 18) = 534
Simplifying the equation:
4x - 14 = 534
Adding 14 to both sides:
4x = 548
Dividing both sides by 4:
x = 137
So, the first part is 137.
The second part is 2x - 32 = 2(137) - 32 = 272 - 32 = 240.
The third part is x + 18 = 137 + 18 = 155.
Therefore, the three parts are: 137, 240, and 155.
To divide 534 into three parts, let's assign variables to each part. Let's call the first part "x", the second part "y", and the third part "z."
According to the given information, we have the following equations:
1. The second part, "y," is 32 less than twice the first part, "x":
y = 2x - 32
2. The third part, "z," is 18 more than the first part, "x":
z = x + 18
We also know that the sum of all three parts is equal to 534:
x + y + z = 534
We can solve this system of equations to find the values of x, y, and z.
Let's start by substituting the value of "y" from equation 1 into equation 3:
x + (2x - 32) + (x + 18) = 534
Simplifying this equation:
4x - 14 = 534
Adding 14 to both sides:
4x = 548
Dividing both sides by 4:
x = 137
Now we can substitute the value of "x" we found into equations 1 and 2 to find the values of "y" and "z":
y = 2(137) - 32
y = 272 - 32
y = 240
z = 137 + 18
z = 155
Therefore, dividing 534 into three parts that satisfy the given conditions is:
First part, x = 137
Second part, y = 240
Third part, z = 155