Age-Based Puzzles - Intermediate Level: sum ages INTERMEDIATE

Level up your age-based puzzles skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: sum ages. Learn family ages, generational puzzles, age sequencing through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:

Develop winning strategies for family ages
Learn smart approaches to generational puzzles
Optimize your comprehensive review solving technique
Build strategic thinking in age sequencing
Master sum ages through proven methods

Your progress through Age-Based Puzzles

Worksheet 14 of 30 (46% complete)

Question 1

Jai is 25 years older than Beau and is now 34 years old. How old was Jai 12 years ago?

Current age of Jai = 34
12 years ago = 34 - 12 = 22

reverse

Question 2

Manas is 3 times as old as Jitendra. 7 years ago, the sum of their ages was 66. How old is Jitendra now?

Let Jitendra = x, then Manas = 3x
7 years ago: (3x - 7) + (x - 7) = 66
(3+1)x - 14 = 66
(4)x = 80
x = 20

ratio_sum

Question 3

The product of the ages of Divya and Mia is 252, and the sum of their ages is 32. Find Divya's age.

Let ages be x and y.
xy = 252
x + y = 32
Solving gives x = 14, y = 18
Therefore, Divya's age = 14

product, sum-diff

Question 4

If Ariana were 8 years younger, she would be 3/5 of Hannah's age 10 years from now. If Ariana is 24 years younger than Hannah, find Ariana's present age.

Let Hannah = 72, then Ariana = 48
Check: (48 - 8) = 3/5 × (72 + 10)
40 = 3/5 × 82 ✓

conditional, fraction

Question 5

In a family, Dhara : Parvathy = 5:3 and Parvathy : Kaylee = 4:1. The sum of their ages is 70. Find Parvathy's age.

Let common ratio for Parvathy be 12
Then Dhara:Parvathy:Kaylee = 20:12:3
Sum of ratios = 35
Each unit = 70 ÷ 35 = 2
Parvathy's age = 12 × 2 = 24

threegen

Question 6

10 years ago, the ratio of Vasudha's age to Dilip's age was 9:4. Currently, the ratio is 8:1. Find Vasudha's present age.

Let present ages be 8k and 1k
10 years ago: (8k-10)/(1k-10) = 9/4
Solving gives k = 10, so Vasudha = 80

hidden

Question 7

The product of the ages of Hazel, Vaishali, and Veena 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

product

Question 8

In a family of four: Kennedy, Priya, Tanmay, Priyanka. The eldest is 27, youngest is 8. The average age is 18. What is the sum of the ages of the other two members?

Total sum = 18 × 4 = 72
Eldest + youngest = 27 + 8 = 35
Sum of other two = 72 - 35 = 37

avg_diff

Question 9

The product of the ages of Xena, Utkarsh, and Liam 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

product

Question 10

The difference between Ajay and Kinsley's ages is 33 years. In 8 years, Ajay's age will be 2 times Kinsley's age. How old is Ajay now?

Let Kinsley = x = 25
Then Ajay = x + 33 = 25 + 33 = 58
Check: In 8 years, Ajay+8 = 66
2 × (Kinsley+8) = 2 × 33 = 66 ✓

diff_mult

Question 11

The average age of 5 people is 30. If Quinn (age 49) leaves and a new person joins, the average becomes 32. Find the age of the new person.

Initial total = 30 × 5 = 150
After Quinn leaves: 150 - 49 = 101
New total = 32 × 5 = 160
New person's age = 160 - (101) = 59

average

Question 12

The ratio of Eleanor's age to Sanjit's age is 4:13. After 32 years, the ratio will become 5:16. Find Eleanor's present age.

Let Eleanor = 4k, Sanjit = 13k
After 32 years: (4k+32)/(13k+32) = 5/16
Solving gives k = 12, so Eleanor = 48

ratio, future

Question 13

Thomas is 2 times as old as his son Sophie. After 5 years, the sum of their ages will be 52. How old is Sophie now?

Let son's age = x, then father's age = 2x
After 5 years: (2x+5) + (x+5) = 52
(2+1)x + 10 = 52
(3)x = 42
x = 14

fatherson

Question 14

Freya is 3 times as old as Sarita. 6 years ago, the sum of their ages was 48. How old is Sarita now?

Let Sarita = x, then Freya = 3x
6 years ago: (3x - 6) + (x - 6) = 48
(3+1)x - 12 = 48
(4)x = 60
x = 15

ratio_sum

Question 15

In a family, Caleb : Mridul = 7:4 and Mridul : Willow = 3:1. The sum of their ages is 111. Find Mridul's age.

Let common ratio for Mridul be 12
Then Caleb:Mridul:Willow = 21:12:4
Sum of ratios = 37
Each unit = 111 ÷ 37 = 3
Mridul's age = 12 × 3 = 36

threegen

Question 16

Owen and Vivian are twins. If Owen is 15 years old now, how old was Vivian 6 years ago?

Twins have the same age. 6 years ago, both were 15 - 6 = 9

twins

Question 17

Sunil is twice as old as Dante was 8 years ago. The difference between their ages is 15 years. How old is Sunil?

Let Dante's current age = x
Then 8 years ago, Dante was (x - 8)
Sunil = 2(x - 8) = 2x - 16
Difference: Sunil - x = (2x - 16) - x = x - 16
Given difference = 15
So x - 16 = 15 → x = 31 = 31
Then Sunil = 2(31 - 8) = 46

2eq

Question 18

The average age of 6 people is 36. If Jitendra (age 27) leaves and a new person joins, the average becomes 40. Find the age of the new person.

Initial total = 36 × 6 = 216
After Jitendra leaves: 216 - 27 = 189
New total = 40 × 6 = 240
New person's age = 240 - (189) = 51

average

Question 19

Katia is 24 years old and Adam is 32 years old. What will be their combined age after 7 years?

Katia will be 24 + 7 = 31
Adam will be 32 + 7 = 39
Combined = 31 + 39 = 70

future_past

Question 20

Tyler is 45 years older than Ishwar and is now 54 years old. How old was Tyler 11 years ago?

Current age of Tyler = 54
11 years ago = 54 - 11 = 43

reverse

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