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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Bình An 3 years 2021-08-24T02:01:22+00:00 1 Answers 15 views 0

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    2021-08-24T02:03:15+00:00

    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 :

     = \tt x  + x +7  = 23

     = \tt 2x + 7 = 23

     = \tt 2x = 16

     = \tt x =  \frac{16}{2}

     \color{plum} \hookrightarrow  \color{plum}x = 8

    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

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