Master age-based puzzles concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into age-based logic while learning age-based logic, family ages, generational puzzles. Recommended for entry-level learners aiming for foundational concepts and basic patterns.
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Worksheet 6 of 30 (20% complete)
Question 1
Chetan is 2 times as old as Joshua. 5 years ago, the sum of their ages was 38. How old is Joshua now?
Let Joshua = x, then Chetan = 2x 5 years ago: (2x - 5) + (x - 5) = 38 (2+1)x - 10 = 38 (3)x = 48 x = 16
Question 2
Ratna is twice as old as Madhav was 7 years ago. The difference between their ages is 2 years. How old is Ratna?
Let Madhav's current age = x Then 7 years ago, Madhav was (x - 7) Ratna = 2(x - 7) = 2x - 14 Difference: Ratna - x = (2x - 14) - x = x - 14 Given difference = 2 So x - 14 = 2 → x = 16 = 16 Then Ratna = 2(16 - 7) = 18
Question 3
The product of the ages of Zoya, Soren, and Alex is 1600. The eldest is 2 times the youngest, and the middle child's age is between them. Find the age of the eldest.
Let youngest = x, then eldest = 2x Then middle = 1600 ÷ (x × 2x) = 1600 ÷ (2x²) Testing x = 8: middle = 1600 ÷ (2 × 8²) = 10 Therefore, eldest = 20
Question 4
In a family, Andrew : Vandana = 5:3 and Vandana : Madhav = 4:1. The sum of their ages is 175. Find Vandana's age.
Let common ratio for Vandana be 12 Then Andrew:Vandana:Madhav = 20:12:3 Sum of ratios = 35 Each unit = 175 ÷ 35 = 5 Vandana's age = 12 × 5 = 60
Question 5
Naman is twice as old as Alexander was 8 years ago. The difference between their ages is 27 years. How old is Naman?
Let Alexander's current age = x Then 8 years ago, Alexander was (x - 8) Naman = 2(x - 8) = 2x - 16 Difference: Naman - x = (2x - 16) - x = x - 16 Given difference = 27 So x - 16 = 27 → x = 43 = 43 Then Naman = 2(43 - 8) = 70
Question 6
Drishti is 2 times as old as his son Victor. After 4 years, the sum of their ages will be 68. How old is Victor now?
Let son's age = x, then father's age = 2x After 4 years: (2x+4) + (x+4) = 68 (2+1)x + 8 = 68 (3)x = 60 x = 20
Question 7
The average age of 5 people is 38. If Sourav (age 30) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 38 × 5 = 190 After Sourav leaves: 190 - 30 = 160 New total = 37 × 5 = 185 New person's age = 185 - (160) = 25
Question 8
The difference between Indu and Harsha's ages is 66 years. In 3 years, Indu's age will be 3 times Harsha's age. How old is Indu now?
Let Harsha = x = 30 Then Indu = x + 66 = 30 + 66 = 96 Check: In 3 years, Indu+3 = 99 3 × (Harsha+3) = 3 × 33 = 99 ✓
Question 9
When Akash was born, Shashi was 12 years old. The sum of their present ages is 64. Find Akash's age when Akash was half of Shashi's age (this will happen 14 years ago).
Let Akash's current age = 26, Shashi's current age = 38 Given: When Akash was born (0 years old), Shashi was 12 years old. Therefore, Shashi is always 12 years older than Akash. So 38 = 26 + 12 ✓
Condition: Find t such that Akash's age = ½ of Shashi's age Equation: 26 + t = ½(38 + t) Multiply both sides by 2: 226 + 2t = 38 + t Simplify: 226 + 2t - t = 38 226 + t = 38 t = 38 - 226 t = 38 - 52 = -14
At that time, Akash's age = 26 + -14 = 12 Verification: When Akash is 12, Shashi is 24 = 24 Check: Is 12 = ½ × 24? ½ × 24 = 12.0 ✓
Note: Mathematically, this always equals the age difference (12) because: event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff
Question 10
Currently, Connor is 2/3 of Nisha's age. After 10 years, Connor will be 3/4 of Nisha's age. Find Connor's present age.
Let Nisha = x, then Connor = 2/3x After 10 years: 2/3x + 10 = 3/4(x + 10) Solving gives x = 30, so Connor = 20
Question 11
If Amit were 7 years younger, she would be 4/11 of Anna's age 9 years from now. If Amit is 7 years younger than Anna, find Amit's present age.
Let Anna = 49, then Amit = 42 Check: (42 - 7) = 4/11 × (49 + 9) 35 = 4/11 × 58 ✓
Question 12
Currently, Shweta is 1/5 of Sanjit's age. After 8 years, Shweta will be 1/4 of Sanjit's age. Find Shweta's present age.
Let Sanjit = x, then Shweta = 1/5x After 8 years: 1/5x + 8 = 1/4(x + 8) Solving gives x = 80, so Shweta = 16
Question 13
In a family of four: Amrita, Bhaskar, Ethan, Deepti. The youngest is 11 and the eldest is 33. The other two members are 24 and 28. What is the average age of the family?
Sum of all ages = 11 + 24 + 28 + 33 = 96 Average = 96 ÷ 4 = 24
Question 14
Soren is 16 years old and Julian is 18 years old. What will be the sum of their ages after 9 years?
Current sum = 16 + 18 = 34 After 9 years, each ages by 9, so sum increases by 18 Future sum = 34 + 18 = 52
Question 15
The sum of ages of Vipul, Valentina, and Eva is 45. Their ages are in the ratio 4:4:1. How old is Valentina?
Sum of ratios = 4 + 4 + 1 = 9 Each unit = 45 ÷ 9 = 5 Valentina's ratio = 4 Age = 4 × 5 = 20
Question 16
The product of the ages of Lillian, Evan, and Grace is 384. The eldest is 3 times the youngest, and the middle child's age is between them. Find the age of the eldest.
Let youngest = x, then eldest = 3x Then middle = 384 ÷ (x × 3x) = 384 ÷ (3x²) Testing x = 4: middle = 384 ÷ (3 × 4²) = 8 Therefore, eldest = 12
Question 17
Karuna is 2 years older than Manjari, Manjari is 4 years older than Pratibha, and the sum of their ages is 40. What is Karuna's age?
Let Pratibha = 10 Then Manjari = 10 + 4 = 14 And Karuna = 14 + 2 = 16 Check sum: 16 + 14 + 10 = 40 ✓
Question 18
In a family of four: Ethan, Indira, Sumit, Shikha. The eldest is 37, youngest is 8. The average age is 23. What is the sum of the ages of the other two members?
Total sum = 23 × 4 = 92 Eldest + youngest = 37 + 8 = 45 Sum of other two = 92 - 45 = 47
Question 19
In a family, Grant is the parent of Uma, and Sushant is the grandparent.
Grant is 2 times as old as Uma, and Sushant is 28 years older than Grant.
What is the age of Grant?
Let Uma (child) = 14 Then Grant (parent) = 2 × 14 = 28 Then Sushant (grandparent) = 28 + 28 = 56
Question 20
Stefan is 2 times as old as Somesh. 5 years ago, the sum of their ages was 44. How old is Somesh now?
Let Somesh = x, then Stefan = 2x 5 years ago: (2x - 5) + (x - 5) = 44 (2+1)x - 10 = 44 (3)x = 54 x = 18
🎓 Level up your skills with Worksheet 6. Focus: age-based logic