A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x

Analyze the question

We're told two things about the man's age:

• In 8 years' time he will be (x + 10) years old.
• 2 years ago he was 63 years old.

We need to find x.

Concept

Work out his present age first. Then use "age in 8 years' time" to form an equation.

Solution

Step 1: Present age 2 years ago he was 63, so now he is 63 + 2 = 65 years.

Step 2: Age in 8 years' time 65 + 8 = 73 years.

Step 3: Form the equation x + 10 = 73 x = 73 − 10 = 63

Check: If x = 63, then in 8 years he is 63 + 10 = 73. Going back 8 years gives 65 now, and 2 years ago he was 63. ✓

Answer: x = 63, which is option B.

Tip: For age problems, always find the present age first, then move forward or backward in time. Writing the timeline (2 years ago → now → 8 years later) helps avoid slips.