Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is:
Choose the correct choice from the following answers
A) 70  B) 75  C) 80  D) 85  E) 90
Explanation :   Let, PA=2x and AB=3x and PB=3y and BQ=4y   PB:BQ=3:4   PA:QA=2:3   PQ=5x=7y   x=7/5 -------------------(i)   From equation (i) and (ii), we have   =&gt;AB=PQ−PA−BQ.   =&gt;7y−4y−2x,   =&gt;3y−2x=2. (AB = 2 ) --------------------(ii)   =&gt;y=10 and Hence, PQ = 70.   70nswer : 70
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Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is: