Question

If a point R=10 and point T=20,find S.Point S divides the line into a ratio of 2:3

Answer 1

R = 10, T = 20

OK. Calculate the length of segment RT:

|RT| = |20 - 10| = |10| = 10

Divide |RT| into a ratio of 2:3

2 + 3 = 5

10 : 5 = 2

Therefore we have

|RS| = 2 · 2 = 4 and |ST| = 3 · 2 = 6   (4 + 6 = 10 CORRECT)

T = R + 4 and T = T - 6

T = 10 + 4 = 14; T = 20 - 6 = 14 CORRECT

Your answer is T = 14.