Question

points P and q both in the line segment AB and on the same side of its midpoint p divides AB in ratio 2 is to 3 and divides AB in ratio 3 is to 4 if Pq = 2 then find the length of the line segment AB? Answer in ratio form

Answer 1

Step-by-step explanation:

Let total length of line Will be lcm of (2+3,3+4) =35X

P divides in 2:3 = 14X:21X since 14+21=35

Q divides in 3:4 = 15X:20X since 15+20 =35

Difference between P and Q is 2 units which is 15X-14X=X

So X=2

Total length is 35X =35*2 =70 units