Question

The age difference between Mark and Nick is

11
11

years. If Mark is
25
25

years old, select all the true statements.

Answer 1

The correct options are A and E.

Explanation:

Let Mark's age be y and Nick's be x.

Then difference between their ages is given by:

(x - y = 11) or (y - x = 11), since Mark may be older than Nick or vice-versa.

The two expression can be combined absolutely as:

|y - x| = 11

Mark is 25 years old. This implies,

|25 - x| = 11.

x (Nick's age) can be calculated from the above equation. Therefore, E is correct.

solving the equation:

|25 - x| = 11

means:

25 - x = 11

x = 25 - 11

x = 14

or:

25 - x = -11

x = 25 + 11

x = 36

That is, Nick can be 36 years old (Option A).