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2 votes
The age difference between Mark and Nick is

11
11

years. If Mark is
25
25

years old, select all the true statements.

The age difference between Mark and Nick is 11 11 years. If Mark is 25 25 years old-example-1

1 Answer

2 votes

Answer:

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).

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