aashishagarwal2 wrote:

Problem Solving PS Question

A, B, C are points on a line. M is the midpoint of AB. N is the midpoint of BC. AB=3BC. What is AB:MN?

Options are not available with me. However, the answer is either 1:2 or 2:1.

Source is handout by Mitul Gada's classes.

Does a verifiable source tell you that those are the two options for the answer?

Does the problem specify that the points are in alphabetical order?

I get two answers. I used the same numbers as

pushpitkc for one version. Here they are on the number line, where A______B__C

Let AB = 6

Then BC = 2

AC= 8

M = 3

N = on number line is 7

A________M_________B__N__C

0________3__________6__7__8

AB = 6

MN = (7-3) = 4

Ratio is 6:4 or 3:2

Different order: A_______C___B

Let AB = 18

Put C between A and B

BC = length = 6

M = 9

Number line values:

C is 12, N is 15

A_____________M_______C___N___B

0_____________9_______12__15__18

MN = 15 - 9 = 6

AB = 18

AB:MN --> 18:6 = 3:1

Is either of those answers a choice?

_________________

In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"