Ineed ! three packages are being mailed. two are identical, but the third is 2 pounds heavier. together, they weigh 62 pounds. what is the weight of the heaviest package?

We are told that three packages are being mailed. Two of them weigh the same, and one is two pounds heavier. All three weigh 62 pounds.

Let w be the weight of one of the packages. Let's make w be the weight of the two packages that weigh the same amount. The third package, two pounds heavier, weighs w + 2 pounds.

Now we take our three packages - w, w, and w +2, and find their total weight. We are told they weigh 62 pounds.

w + w + w +2 = 62          <weights of all three packages totaling 62 pounds

3w + 2 = 62                    <combine like terms

3w = 60                          <subtract 2 on both sides

w = 20                            <divide both sides by 3

We put w back into our weights of w, w, and w +2. So the packages weigh 20 pounds, 20 pounds, and 20 + 2 = 22 pounds.

Therefore the heaviest package weighs 22 pounds, and the other two weigh 20 pounds.

∠cbe and ∠deb are same-side interior angles.

i took the test

exactly you go it

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