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 :
[tex] = \tt x + x +7 = 23[/tex]
[tex] = \tt 2x + 7 = 23[/tex]
[tex] = \tt 2x = 16[/tex]
[tex] = \tt x = \frac{16}{2} [/tex]
[tex] \color{plum} \hookrightarrow \color{plum}x = 8[/tex]
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
