In ΔABC, D and E are points on sides AB and AC, such that DE ∥ BC. If AD = x,DB = x - 3,AE = x + 3 and EC = x - 2, then the value of x is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 4.5.
AD/BD = AE/EC
⇒ (x)/(x - 3) = (x + 3)/(x - 2)
⇒ x2 - 2x = x2 - 3x + 3x - 9
⇒ -2x = -9
⇒ x = (-9)/(-2) = 9/2 = 4.5
Therefore, the value of x is 4.5.