## afia makes a line using 19 pencils of equal length. orlando makes line using 21 pencils of equal length. Afia’s line is 33 cm longer than Or

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Given :afia makes a line using 19 pencils of equal length. orlando makes line using 21 pencils of equal length. Afia’s line is 33 cm longer than Orlando’s line.To find :what length pencil did each useSolution:Let say afia pencil length = A cm

He uses 19 pencils

so Total length of afia = 19A cm

Let say orlando pencil length = B cm

He used 21 pencils

so Total length of Orlando = 21B cm

19 A – 21 B = 33

Let say A = B + x

=> 19 (B + x) – 21B = 33

=> 19B + 19x – 21B = 33

=> 19x = 33 + 2B

=> 19(x – 1) = 14 + 2B

14 + 2B must be a multiple of 19

B = 12 => 14 + 24 = 38

=> x – 1 = 2

=> x = 3

B = 12 , A = 15

19 * 15 = 285 cm

21 * 12 = 252 cm

285 – 252 = 33 cm

So

Length of pencils are 15 cm & 12 cmLearn more:

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