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Age Problems - Intermediate-Advanced Level: sum of ages INTERMEDIATE-ADVANCED

Ready to master age problems? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your sum of ages skills. Master age calculations, present age, past age through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 22 of 30 (73% complete)

Question 1

Present ages of Abel, Shivani, Rajiv are in ratio 4:5:6. Sum of ages is 135. Find Abel's age.
Let ages be 4x, 5x, 6x. Sum = 15x = 135, so x = 9. Abel = 4×9 = 36
complex_ratio

Question 2

Grandfather is 67 years old, his son is 46 years old, and his grandson is 26 years old. What is the sum of their ages?
Sum = 67 + 46 + 26 = 139
family_tree

Question 3

Penelope is 4 years older than Claire. If Claire is 14, how old is Penelope?
Penelope = Claire + 4 = 14 + 4 = 18
basic

Question 4

The sum of ages of all family members is 63 and their average age is 21. How many members are there in the family?
number = total / average = 63 / 21 = 3
member_count

Question 5

Sarabjit and Charles together are 29. If Sarabjit is 17, what is Charles's age?
Charles = 29 - 17 = 12
sum

Question 6

Addison is 50% younger than Uday. If Uday is 34 years, how old is Addison?
Addison = 34 - (50% of 34) = 34 - 17 = 17
percentage

Question 7

In 3 years, Sonam will be 3 times as old as Ishwar will be then. Ishwar's present age is 14. What is Sonam's present age?
Sonam+3=3*(14+3) -> Sonam=3*(14+3)-3=48
multiple

Question 8

Grandfather is 65 years old, his son is 48 years old, and his grandson is 28 years old. What is the sum of their ages?
Sum = 65 + 48 + 28 = 141
family_tree

Question 9

Ratio of ages of Jahnavi to Kalpana is 5:3, and the difference is 14. How old is Jahnavi?
Let Jahnavi = 5x, Kalpana = 3x
Difference = 5x - 3x = 2x = 14
Therefore x = 14 ÷ 2 = 7
Jahnavi = 5 × 7 = 35
ratio

Question 10

The average age of a group is 26. The sum of their ages is 130. How many people are there in the group?
Count = sum / average = 130 / 26 = 5
group_size

Question 11

In 4 years, Paisley will be 2 times as old as Manjari will be then. Manjari's present age is 7. What is Paisley's present age?
Paisley+4=2*(7+4) -> Paisley=2*(7+4)-4=18
multiple

Question 12

In 2024, the Ariana family consists of: - Ariana (Father): 40 years - Henry (Mother): 37 years - Sanyam (Son): 19 years - Tushar (Daughter): 14 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 130 Based on the relationships, what is Sanyam's current age?
From given relationships, Sanyam's age = 19
case_study, comprehensive

Question 13

Ages of 3 people Gopal, Akshay, Uma are in AP. Their current sum is 60. After 6 years, sum will be 78. Find the youngest person's age.
In AP, sum increases by 3×6=18. Current ages form AP starting with 16.
AP

Question 14

Ratio of ages of Manjari to Alok is 2:3, and the difference is 10. How old is Alok?
Let Manjari = 2x, Alok = 3x
Difference = 3x - 2x = 1x = 10
Therefore x = 10 ÷ 1 = 10
Alok = 3 × 10 = 30
ratio

Question 15

Claire is 7 years younger than Babita. If Babita is 10, how old is Claire?
Claire = Babita - 7 = 10 - 7 = 3
basic

Question 16

Suresh is 14, Sohan is 18. After 5 years, what is the ratio of their ages?
Suresh: Sohan = 19:23, after 5 years.
future_ratio

Question 17

A is 10. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=17; 2A-4=16
olympiad_expression

Question 18

Lata is 7 years younger than Vineet. If Vineet is 13, how old is Lata?
Lata = Vineet - 7 = 13 - 7 = 6
basic

Question 19

A is 4 years older than B. If B is 14 and A is 12, is the data correct?
If B is 14, A should be 18. But A is 12. Data is inconsistent.
contradiction

Question 20

A is 14. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=21; 2A-4=24
olympiad_expression
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