Age-Based Puzzles - Beginner-Intermediate Level: past ages
BEGINNER-INTERMEDIATE
This deep dive ★ worksheet contains 20 beginner-intermediate-level age-based puzzles problems. Worksheet 11 of 30 focuses on past ages. Practice age constraints, age relationships, age-based logic with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.
9 years ago, the ratio of Sheetal's age to Brandon's age was 8:1. Currently, the ratio is 10:3. Find Sheetal's present age.
Let present ages be 10k and 3k 9 years ago: (10k-9)/(3k-9) = 8/1 Solving gives k = 9, so Sheetal = 90
Question 2
Sahil is 35 years old and Soren is 15 years old. What will be their combined age after 6 years?
Sahil will be 35 + 6 = 41 Soren will be 15 + 6 = 21 Combined = 41 + 21 = 62
Question 3
The ratio of Uma's age to Jack's age is 2:9. After 26 years, the ratio will become 3:13. Find Uma's present age.
Let Uma = 2k, Jack = 9k After 26 years: (2k+26)/(9k+26) = 3/13 Solving gives k = 12, so Uma = 24
Question 4
Currently, Swati is 3/4 of Giselle's age. After 20 years, Swati will be 4/5 of Giselle's age. Find Swati's present age.
Let Giselle = x, then Swati = 3/4x After 20 years: 3/4x + 20 = 4/5(x + 20) Solving gives x = 80, so Swati = 60
Question 5
The average age of 4 people is 25. If Henry (age 49) leaves and a new person joins, the average becomes 21. Find the age of the new person.
Initial total = 25 × 4 = 100 After Henry leaves: 100 - 49 = 51 New total = 21 × 4 = 84 New person's age = 84 - (51) = 33
Question 6
Currently, Zoey is 1/5 of Tanya's age. After 8 years, Zoey will be 1/4 of Tanya's age. Find Zoey's present age.
Let Tanya = x, then Zoey = 1/5x After 8 years: 1/5x + 8 = 1/4(x + 8) Solving gives x = 80, so Zoey = 16
Question 7
Madelyn is 4 years older than Lucy, Lucy is 2 years older than Indu, and the sum of their ages is 56. What is Madelyn's age?
Let Indu = 16 Then Lucy = 16 + 2 = 18 And Madelyn = 18 + 4 = 22 Check sum: 22 + 18 + 16 = 56 ✓
Question 8
In a family, Yogesh is the parent of Dolly, and Indu is the grandparent.
Yogesh is 2 times as old as Dolly, and Indu is 26 years older than Yogesh.
What is the age of Yogesh?
Let Dolly (child) = 7 Then Yogesh (parent) = 2 × 7 = 14 Then Indu (grandparent) = 14 + 26 = 40
Question 9
5 years ago, the ratio of Santosh's age to Paresh's age was 4:2. Currently, the ratio is 3:1. Find Santosh's present age.
Let present ages be 3k and 1k 5 years ago: (3k-5)/(1k-5) = 4/2 Solving gives k = 10, so Santosh = 30
Question 10
The product of the ages of Lydia and Sienna is 270, and the difference between their ages is 3. Find Lydia's age.
Let ages be x and y. xy = 270 x - y = 3 Solving gives x = 15, y = 18 Therefore, Lydia's age = 15
Question 11
Giselle is 32 years old and Milo is 10 years old. What will be their combined age after 7 years?
Giselle will be 32 + 7 = 39 Milo will be 10 + 7 = 17 Combined = 39 + 17 = 56
Question 12
In a family of four: Vasudha, Ellie, Nolan, Niyati. The youngest is 12 and the eldest is 24. The other two members are 21 and 23. What is the average age of the family?
Sum of all ages = 12 + 21 + 23 + 24 = 80 Average = 80 ÷ 4 = 20
Question 13
Sneh is twice as old as Ethan was when Durga was as old as Sneh is now. If Durga is currently 25 years old, find Sneh's age.
When Durga was 30 years old, that was 5 years ago At that time, Ethan was 15 Now Sneh = 2 × 15 = 30 ✓
Question 14
When Rakshit was born, Lucia was 12 years old. The sum of their present ages is 24. Find Rakshit's age when Rakshit was half of Lucia's age (this will happen in 6 years).
Let Rakshit's current age = 6, Lucia's current age = 18 Given: When Rakshit was born (0 years old), Lucia was 12 years old. Therefore, Lucia is always 12 years older than Rakshit. So 18 = 6 + 12 ✓
Condition: Find t such that Rakshit's age = ½ of Lucia's age Equation: 6 + t = ½(18 + t) Multiply both sides by 2: 26 + 2t = 18 + t Simplify: 26 + 2t - t = 18 26 + t = 18 t = 18 - 26 t = 18 - 12 = 6
At that time, Rakshit's age = 6 + 6 = 12 Verification: When Rakshit is 12, Lucia 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 15
Camila is twice as old as Elena was 7 years ago. The difference between their ages is 11 years. How old is Camila?
Let Elena's current age = x Then 7 years ago, Elena was (x - 7) Camila = 2(x - 7) = 2x - 14 Difference: Camila - x = (2x - 14) - x = x - 14 Given difference = 11 So x - 14 = 11 → x = 25 = 25 Then Camila = 2(25 - 7) = 36
Question 16
Shilpa is 3 times as old as his son Ishan. After 3 years, the sum of their ages will be 54. How old is Ishan now?
Let son's age = x, then father's age = 3x After 3 years: (3x+3) + (x+3) = 54 (3+1)x + 6 = 54 (4)x = 48 x = 12
Question 17
If Aditya were 8 years younger, she would be 5/12 of Prateek's age 9 years from now. If Aditya is 32 years younger than Prateek, find Aditya's present age.