Question

The points A, B, C and D lie in order on a straight line

such that
AB:BD = 1:2
AC:CD= 7:2
Find AB:BC:CD

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Answer 1

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2