duahsolo wrote:

If m is an integer greater than 9 but less than 20, is n greater than the average (arithmetic mean) of m and 20?

(1) n = 3m

(2) The distance on the number line between n and 20 is less than the distance on the number line between n and m.

(1) n=3m

even if n=9 them m=27 which if out of the range specified for m

as because avg. of m & 20 lies within the range then n ,which is greater than 20 must be > than avg. of m & 20 in any case

suff..

(2) this directly gives the ans YES.

As because avg of m & 20 is the midpoint between m & 20 then n which we place in between m & 20 on number line is equidistant when it is an avg. value but as distance of In-20I < In-mI means the value of n must be shifted towards right of avg value ,or in other words n is closer to 20 in every case.

one can draw a number line and visualize very easily

then n must be > avg value

suff..

Ans D