Question

The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Answer 1

Distance between U and T = 1 unit

It is divided into 3 equal parts

Given, TR = RS = SU and AP = PQ = QB

It is clear from the given picture that

P = `21/3  "and"  7/3`

Q =`22/3  "and"  8/3`

R = `- 11/3  "and" -4/3`

And, S = `- 12/3  "and" -5/3`