Points P and Q are both on 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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Answer:
Step-by-step explanation:
given
AB divides of the line =AB=2:3
Q divides of line=AB=3:4The distance between P and Q=2cm
we have to find the length of AB=?AP=2x+3x=5x
AQ+QB=3x+4x=7x
LCM tx and 7x=35x
AP+PQ=AQ 2x+2x=3x
3x-2x=2xx=2x
the length of AB=3x35X2CM=70
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