Maths question from Social Forest Worker exam, 2026 by JKSSB
An HR department is auditing the ages of its 5-member executive board A, B, C, D, and E, to comply with a "balanced experience" policy. The average age of the board members is 25 years. Member D (age 30) quits and is replaced by Member F. The new average age becomes 24 years. Additionally, Member B is 5 years younger than Member C. Member A is 2 years older than Member F. Member E and Member B have same age. What is the current age of Member E?
Last updated Jul 21, 2026
Correct Answer:
Option B —
21 years
Step 1: Find Member F's age
For five members to average 25 years, their total age combined must be 125 years.
Since Member D is 30 years old, the remaining four members (A, B, C, and E) have a combined total age of 95 years (125 minus 30).
When Member F replaces Member D, the new average age for the five members becomes 24 years, making the new total age 120 years.
Since A, B, C, and E account for 95 years of that total, Member F must be 25 years old (120 minus 95).
Step 2: Find Member A's age
Member A is two years older than Member F.
Since Member F is 25 years old, Member A is 27 years old.
Step 3: Find Member E's age
Now we look at the new board total of 120 years for members A, B, C, E, and F:
Members A and F together contribute 52 years (27 plus 25).
Subtracting 52 from the overall total of 120 leaves 68 years split among members B, C, and E.
Member C is five years older than Member B. Taking away those extra 5 years leaves 63 years.
Member E and Member B are the same age, meaning B, E, and the base portion of C are three equal shares.
Dividing 63 years into three equal parts gives 21 years for each share.
Therefore, Member E is 21 years old.
Correct Answer:
B) 21 years
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
