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SMO 2016 Junior Round 1 Question 5

SMO · SMO 2016 Junior Round 1

Question 5

$ABCD$ is a parallelogram. $E$ is a point on the side $AB$ such that the ratio of the area of the quadrilateral $AECD$ to the area of the triangle $ABC$ is $7:5$. The ratio of $AE:EB$ is

Question illustration
  1. $2:3$
  2. $2:7$
  3. $3:4$
  4. $3:5$
  5. $5:7$