Question

The points B, C, D and E all lie on the same line segment, in that order, such that the ratio of B C : C D : D E BC:CD:DE is equal to 1 : 6 : 2. 1:6:2. If B E = 45 , BE=45, find D E . DE.

Answer 1

• DE = 10

Explanation:

Given

• B C : C D : D E = 1 : 6 : 2
• BE = 45
• DE = ?

Solution

• BC = x, CD = 6x, DE = 2x
• BE = BC + CD + DE
• x + 6x + 2x = 45
• 9x = 45
• x = 5
• DE = 2x = 2* 5 = 10