a segment is divided into two parts having lengths in the ratio of 5:3. if the difference between the lengths of the parts is 6 " find the length of the longest part
1 answer:
2 parts.....ratio is 5:3...added = 8.....so one of the parts is 5/8 of the total...5/8x....and the other part is 3/8 of the total...3/8x the difference is 6... 5/8x - 3/8x = 6 2/8x = 6 x = 6 * 8/2 x = 48/2 x = 24 so the total length is 24 with the longest being : 5/8(24) = 15 <== and the shortest being : 3/8(24) = 9
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