Age Problems - Intermediate-Advanced Level: future age INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for age problems: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: future age. Develop expertise in age ratios, age differences, sum of ages with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

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Worksheet 19 of 30 (63% complete)

Question 1

Dante is 20% older than Sanjit. If Sanjit is 27 years, how old is Dante?
Dante = 27 + (20% of 27) = 27 + 5 = 32

Question 2

Sum of A and B's ages is 66. After 7 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 66, (A+7) = 2*(B+7) → A = 46.3 → max A = 46

Question 3

A is 10 years older than B. The sum of their ages after 4 years will be 52. Find A's present age.
Let A=27, B=17. After 4 years: A=31, B=21, sum=52. Therefore A = 27

Question 4

Ages of 4 people Addison, Purvi, Komal, Amelia are in AP. Their current sum is 110. After 6 years, sum will be 134. Find the youngest person's age.
In AP, sum increases by 4×6=24. Current ages form AP starting with 23.

Question 5

Ganesh is 4 years older than Chitra. If Chitra is 11, how old is Ganesh?
Ganesh = Chitra + 4 = 11 + 4 = 15

Question 6

Eva is 15% older than Waylon. If Waylon is 27 years, how old is Eva?
Eva = 27 + (15% of 27) = 27 + 4 = 31

Question 7

A is 4 years older than B. If B is 13 and A is 11, is the data correct?
If B is 13, A should be 17. But A is 11. Data is inconsistent.

Question 8

Table shows ages: 2020: X=30, Y=29, Z=31 2025: X=35, Y=34, Z=36 How did the ratio of X:Y's ages change from 2020 to 2025?
2020 ratio: 30:29, 2025 ratio: 35:34

Question 9

People: Pratibha, Shashi, Anmol Clues: Pratibha is older than Shashi. Anmol is the youngest. The sum of their ages is 103.
Deduce from clues and order.

Question 10

A is 19. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=26; 2A-4=34

Question 11

A is 4 years older than B. If B is 8 and A is 6, is the data correct?
If B is 8, A should be 12. But A is 6. Data is inconsistent.

Question 12

Simran and Brandon together are 25. If Simran is 14, what is Brandon's age?
Brandon = 25 - 14 = 11

Question 13

Eleanor is now 20. How old will Eleanor be after 9 years?
Future: 20 + 9 = 29

Question 14

In 3 years, Luke will be 2 times as old as Michael will be then. Michael's present age is 5. What is Luke's present age?
Luke+3=2*(5+3) -> Luke=2*(5+3)-3=13

Question 15

In 2015, ages of X, Y, Z were 24, 23, 22 respectively. In 2025, their ages were 34, 33, 32. What was X's age in 2015?
Since ages increase uniformly by 5 years every 5 years, X's age in 2015 = 24

Question 16

The average age of a group is 18. The sum of their ages is 72. How many people are there in the group?
Count = sum / average = 72 / 18 = 4

Question 17

In 8 years, Mitali will be 2 times as old as Ishaan will be then. Ishaan's present age is 12. What is Mitali's present age?
Mitali+8=2*(12+8) -> Mitali=2*(12+8)-8=32

Question 18

The sum of ages of all family members is 120 and their average age is 30. How many members are there in the family?
number = total / average = 120 / 30 = 4

Question 19

A is 4 times as old as B. If B is 28, what is A's age?
A = 4 × 28 = 112

Question 20

Ages of 6 family members: [27, 31, 34, 10, 38, 26]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 1, total: 6, prob = 1/6
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