A wire measures 137 centimeters in length. The shorter piece is 13 centimeters short. find the of length each piece.
strange wording
Do you mean the shorter piece IS 13 cm?
Then the question is trivial
Do you mean the shorter piece is 13 cm less than the longer?
if so ....
x + x-13 = 137
2x = 150
x = 75
one is 75 cm the other is 62 cm
To find the length of each piece, you can set up an equation based on the information provided.
Let's assume that the length of the longer piece of wire is "x" centimeters. According to the given information, the shorter piece of wire is 13 centimeters shorter than the longer piece, so its length would be "x - 13" centimeters.
Since the total length of the wire is 137 centimeters, you can set up the equation:
x + (x - 13) = 137
Now, solve this equation to find the value of "x," which represents the length of the longer piece:
2x - 13 = 137
2x = 137 + 13
2x = 150
x = 150 / 2
x = 75
So, the length of the longer piece is 75 centimeters. Now, substitute this value back into the equation to find the length of the shorter piece:
x - 13 = 75 - 13
x - 13 = 62
Therefore, the length of the shorter piece is 62 centimeters, and the longer piece is 75 centimeters.