Points A, B, C, and D and lie on a line in alphabetical order. If AB: BD =5:7 and AC: CD = 13:11, determine the ratio AB: BC : CD
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AB : BD = 5 : 7 = 10 : 14
AC : CD = 13 * 11
This implies that A to D has 24 equal parts
AB = 10 of these
AC = 13 of these
So BC = 3
So
AB = 10
BC = 3
CD = 11
So AB : BC : CD = 10 : 3 : 11