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Age Problems - Advanced Level: average age ADVANCED

Level up your age problems skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: average age. Learn past age, future age, age ratios through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 24 of 30 (80% complete)

Question 1

A is older than B. C is younger than B. A + B + C = 59. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 59, max C = 16
optimization, inequality

Question 2

Statement 1: A is 5 years older than B. Statement 2: B is 13 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 3

In 2024, the Farhan family consists of: - Farhan (Father): 43 years - Varun (Mother): 38 years - Rishi (Son): 20 years - Nikita (Daughter): 14 years Additional information: • Father is 4 times as old as daughter was 5 years ago • Mother was 25 years old when son was born • In 5 years, sum of all ages will be 135 Based on the relationships, what is Nikita's current age?
From given relationships, Nikita's age = 14
case_study, comprehensive

Question 4

Dylan is 15% older than Rahul. If Rahul is 24 years, how old is Dylan?
Dylan = 24 + (15% of 24) = 24 + 3 = 27
percentage

Question 5

Two liquids mixed in ratio 2:1 make 36 liters. The elder person's age equals the larger quantity, the younger's equals the smaller. Age difference?
Larger quantity = 24L, smaller = 12L. Age difference = 24 - 12 = 12
integrated, multi_topic

Question 6

Manmohan is now 24. How old was Manmohan 4 years ago?
Past: 24 - 4 = 20
tense

Question 7

Ages of 4 people Rajiv, Jagdish, Ruby, Peyton are in AP. Their current sum is 118. After 6 years, sum will be 142. Find the youngest person's age.
In AP, sum increases by 4×6=24. Current ages form AP starting with 25.
AP

Question 8

The average age of a group is 21. The sum of their ages is 42. How many people are there in the group?
Count = sum / average = 42 / 21 = 2
group_size

Question 9

People: Brielle, Shikha, Shree Clues: Brielle is older than Shikha. Shree is the youngest. The sum of their ages is 102.
Deduce from clues and order.
logic_grid

Question 10

A is 30 years old. In 20 years, A will complete 6 tasks per year. How many tasks will A have completed altogether after 20 years?
Each year, task: 6. For 20 years: 20 × 6 = 120
work_mix

Question 11

In 2024, the Kinsley family consists of: - Kinsley (Father): 50 years - Vijay (Mother): 46 years - Anmol (Son): 17 years - Aparna (Daughter): 12 years Additional information: • Father is 4 times as old as daughter was 5 years ago • Mother was 25 years old when son was born • In 5 years, sum of all ages will be 145 Based on the relationships, what is Aparna's current age?
From given relationships, Aparna's age = 12
case_study, comprehensive

Question 12

The sum of ages of all family members is 100 and their average age is 25. How many members are there in the family?
number = total / average = 100 / 25 = 4
member_count

Question 13

The average age of a group is 18. The sum of their ages is 108. How many people are there in the group?
Count = sum / average = 108 / 18 = 6
group_size

Question 14

People: Veena, Justin, Valentina Clues: Veena is older than Justin. Valentina is the youngest. The sum of their ages is 62.
Deduce from clues and order.
logic_grid

Question 15

Nira is 10% younger than Eva. If Eva is 40 years, how old is Nira?
Nira = 40 - (10% of 40) = 40 - 4 = 36
percentage

Question 16

Grandfather is 57 years old, his son is 45 years old, and his grandson is 27 years old. What is the sum of their ages?
Sum = 57 + 45 + 27 = 129
family_tree

Question 17

In 4 years, Archana will be 3 times as old as Nishant will be then. Nishant's present age is 14. What is Archana's present age?
Archana+4=3*(14+4) -> Archana=3*(14+4)-4=50
multiple

Question 18

Ratio of ages of Emma to Mike is 3:5, and the difference is 10. How old is Mike?
Let Emma = 3x, Mike = 5x
Difference = 5x - 3x = 2x = 10
Therefore x = 10 ÷ 2 = 5
Mike = 5 × 5 = 25
ratio

Question 19

Manish is 13, Varun is 16. After 5 years, what is the ratio of their ages?
Manish: Varun = 18:21, after 5 years.
future_ratio

Question 20

10 years ago, A was half as old as B. In 5 years, what will be the age difference between B and A?
10 years ago: A was 19, B was 28. Check: 19 = ½ × 28 ✓
Present ages: A = 29, B = 38
In 5 years: A = 34, B = 43
Age difference = |43 - 34| = 9
(Age difference stays constant over time = B - A = 9)
chronological_chain
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