Question

The points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:6. If NQ = 12 find OQ.

Answer 1

NO:OP: PQ

1 : 5 : 6

We know the total length NQ = 12

The sum of NO + OP + PQ = 1+ 5+ 6 = 12

NO:OP: PQ : NQ

1 : 5 : 6 : 12

Each of the lengths is 1 times the ratio

OQ = OP + PQ

= 5 + 6

= 11

The length of OQ = 11