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Simple method to solve this problem is by substitution

AD = AB+BC+CD

Given CD=3(BC)
AD=6

6=AB+BC+3BC
6=AB+4BC

The Value of BC has to be as minimal as possible so as to satisfy the equation
so BC = 1
And AB = 2
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Bunuel

In the diagram above, AD = BE = 6 and CD = 3(BC). If AE = 8, then BC =


A. 6
B. 4
C. 3
D. 2
E. 1


It helps to label each segment with letters, and we can proceed by solving each letter. Let AB = a, BC = b, CD = d, DE = d. With AD = 6 and AE = 8, we know d = 2.
With BE = 6 and AE = 8, we know a = 2, we're left with b + c = 4. CD = 3*BC translates to c = 3*b. Now we have b + c = 4 and c = 3*b, solving for b gives b = 1.

Ans: E
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