Question

The points B, C D and Eall lie on the same line segment, in that order, such that the

ratio of BC:CD: DE is equal to 1:2:2. If BE = 15, find BD.

Answer 1

BD = 9

Explanation:

Since, the points B, C D and E all lie on the same line segment, in that order, such that the

ratio of BC:CD: DE is equal to 1:2:2. If BE = 15

Let BC = x, CD = 2x, DE = 2x

`\because BC+CD+ DE= BE\\\\</p><p>\therefore x + 2x + 2x = 15..(\because BE =15)\\\\</p><p>\therefore 5x = 15\\\\</p><p>\therefore x = (15)/(5)\\\\</p><p>\therefore x = 3\\\\</p><p>\because BD = BC + CD\\\|</p><p>\therefore BD = x + 2x \\\\</p><p>\therefore BD = 3x\\\\</p><p>\therefore BD = 3* 3\\\\</p><p>\huge \orange {\boxed {\therefore BD = 9}}`