Points P and Q are both in the line segment AB and on the same side of
its midpoint. P divides AB in the ratio 2:3 and Q divides AB in the
ratio 3:4. If PQ = 2, then find the length of the line segment AB.
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AB= AP+BP
=2x+3x
=5x....(1)
AB= AQ+QB
=3x+4x
=7x...(2)
AQ=AP+PQ= 2x+2
3x=2x+2
×=2
AB=35x =70 units
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