Answered

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A wire 24 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece.Find the length of the shorter piece of wire

A Wire 24 Cm Long Is Cut Into Two Pieces The Longer Piece Is 2 Cm Longer Than The Shorter PieceFind The Length Of The Shorter Piece Of Wire class=

Sagot :

Let x be the length of the longer piece and y the length of the shorter one. Then we have:

[tex]\begin{gathered} i)\text{ }x+y=24 \\ ii)\text{ }x-y=2 \end{gathered}[/tex]

Adding equation i to equation ii, we have:

[tex]\begin{gathered} x+x+y-y=24+2 \\ 2x=26 \\ x=13\text{ cm} \end{gathered}[/tex]

Applying this result in equation i, we have:

[tex]\begin{gathered} 13+y=24 \\ y=11\text{ cm} \end{gathered}[/tex]

Therefore, the length of the shorter piece is 11 cm

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