turkey-yks 2019 Q8

turkey-yks · Other · yks-tyt Inequalities Absolute Value Inequality
A positive number A is shown on the number line as in the figure.
Then, on this number line; numbers whose distance from 0 is equal to half the distance of number A from 0 are marked.
If the distance from one of the marked numbers to number A is 6 units, what is the sum of the possible values of number A?
A) 15
B) 16
C) 18
D) 20
E) 21
A positive number A is shown on the number line as in the figure.

Then, on this number line; numbers whose distance from 0 is equal to half the distance of number A from 0 are marked.

If the distance from one of the marked numbers to number A is 6 units, what is the sum of the possible values of number A?

A) 15

B) 16

C) 18

D) 20

E) 21