1970 AHSME Problems/Problem 9

Problem

Points $P$ and $Q$ are on line segment $AB$ , and both points are on the same side of the midpoint of $AB$ . Point $P$ divides $AB$ in the ratio $2:3$ , and $Q$ divides $AB$ in the ratio $3:4$ . If $PQ$ =2, then the length of segment $AB$ is

$\text{(A) } 12\quad \text{(B) } 28\quad \text{(C) } 70\quad \text{(D) } 75\quad \text{(E) } 105$

Solution

$\fbox{C}$

1970 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 8	Followed by Problem 10
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
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1970 AHSME Problems/Problem 9

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