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Age Problems - Beginner-Intermediate Level: product of ages BEGINNER-INTERMEDIATE

Comprehensive race against clock worksheet covering 20 beginner-intermediate-level age problems problems. Worksheet 8 of 30 emphasizes product of ages. Master age calculations, present age, past age through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.

📝 Worksheet 8 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 8 of 30 (26% complete)

Question 1

In 7 years, Beatrice will be 3 times as old as Leah will be then. Leah's present age is 12. What is Beatrice's present age?
Beatrice+7=3*(12+7) -> Beatrice=3*(12+7)-7=50
multiple

Question 2

Ages of 4 people Hannah, Dilip, Josephine, Kalpana are in AP. Their current sum is 108. After 3 years, sum will be 120. Find the youngest person's age.
In AP, sum increases by 4×3=12. Current ages form AP starting with 21.
AP

Question 3

In 8 years, Penelope will be twice as old as Adeline was 3 years ago. If Adeline is 14 now, how old is Penelope now?
In 8 years: Penelope=Penelope(now)+8, Adeline was 14-3=11 three years ago. Penelope(now)+8=2*11 => Penelope(now) = 2*11 - 8 = 14.
reverse

Question 4

Ages of 7 family members: [14, 24, 18, 39, 23, 21, 11]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 2, total: 7, prob = 2/7
probability

Question 5

In 2024, the Priyanka family consists of: - Priyanka (Father): 49 years - Jaya (Mother): 46 years - Mila (Son): 18 years - Gunjan (Daughter): 13 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 146 What will be the sum of their ages after 11 years?
Current sum = 126. Each person ages 11 years → +44 = 170
case_study, comprehensive

Question 6

One person's age is 3 times another. If sum of ages is 56, what are their ages?
Let x: base, 3x: second. x + 3x = 56 → x = 14, 3x = 42
geometry

Question 7

Ratio of ages of Sumit to Gauri is 2:3, and the difference is 5. How old is Gauri?
Let Sumit = 2x, Gauri = 3x
Difference = 3x - 2x = 1x = 5
Therefore x = 5 ÷ 1 = 5
Gauri = 3 × 5 = 15
ratio

Question 8

Grandfather is 65 years old, his son is 44 years old, and his grandson is 28 years old. What is the sum of their ages?
Sum = 65 + 44 + 28 = 137
family_tree

Question 9

The sum of ages of all family members is 168 and their average age is 24. How many members are there in the family?
number = total / average = 168 / 24 = 7
member_count

Question 10

The sum of A and B's ages is 35. Twice A's age minus B's age is 16. Find A's age.
A + B = 35
2A - B = 16
Adding the two equations: (A + B) + (2A - B) = 35 + 16
3A = 51
A = 17
Verification: B = 35 - 17 = 18
2(17) - 18 = 16 = 16 ✓
equation

Question 11

Sita is 40% older than Shubham. If Shubham is 30 years, how old is Sita?
Sita = 30 + (40% of 30) = 30 + 12 = 42
percentage

Question 12

Family: Bryson, Saurabh, Yara, Ira. Average age is 22. What is the sum of ages?
Total = 22*4 = 88
average

Question 13

A is 13. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=20; 2A-4=22
olympiad_expression

Question 14

Gautam and Stella together are 32. If Gautam is 16, what is Stella's age?
Stella = 32 - 16 = 16
sum

Question 15

One person's age is 2 times another. If sum of ages is 45, what are their ages?
Let x: base, 2x: second. x + 2x = 45 → x = 15, 2x = 30
geometry

Question 16

Given: Utkarsh > Bela, Bela > Tripti, and Utkarsh + Tripti < 52. If all ages are integers, what is the minimum possible age of Utkarsh?
With given constraints, minimum Utkarsh = 22 (since Utkarsh > Bela > Tripti and all integers)
inequality, ranges

Question 17

In 2024, the Julia family consists of: - Julia (Father): 45 years - Gael (Mother): 42 years - Madhu (Son): 22 years - Girish (Daughter): 18 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 147 What was the ratio of Julia's age to Madhu's age 3 years ago?
3 years ago: Julia = 42, Madhu = 19 → Ratio = 42:19
case_study, comprehensive

Question 18

A is 11 years younger than B. The sum of their ages after 7 years will be 61. Find A's present age.
Let A=18, B=29. After 7 years: A=25, B=36, sum=61. Therefore A = 18
multi_stage

Question 19

Given: Jaya > Akash, Akash > Mohan, and Jaya + Mohan < 47. If all ages are integers, what is the minimum possible age of Jaya?
With given constraints, minimum Jaya = 22 (since Jaya > Akash > Mohan and all integers)
inequality, ranges

Question 20

Ages of 7 family members: [33, 14, 37, 11, 27, 13, 22]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 3, total: 7, prob = 3/7
probability
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