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A wire 23 cm long is cut into two pieces. The longer piece is 7 cm longer than the shorter piece. Find the length of the shorter
Question
A wire 23 cm long is cut into two pieces. The longer piece is 7 cm longer than the shorter piece.
Find the length of the shorter piece of wire
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Mathematics
3 years
2021-08-24T02:01:22+00:00
2021-08-24T02:01:22+00:00 1 Answers
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Answers ( )
Length of a wire = 23 cm
Given that :
▪︎The wire was cut into two pieces.
▪︎The longer piece of wire is 7 cm longer than the shorter piece of wire.
Let the shorter piece of wire be x.
Then, the longer piece of wire = x+7
An equation that can be derived from these statements :
▪︎x + x + 7 = 23
Let us solve this equation :
Thus, the value of x = 8.
Which means :
Length of the shorter piece of wire = 8 cm
Length of the longer piece of wire = 8 + 7 = 15 cm
Since the length of the two wires add up to form 23 cm(8+15=23), we can conclude that we have found out the correct measures of each wire.
Therefore, the length of the shorter piece of wire = 8 cm