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Age Problems - Beginner-Intermediate Level: age equations BEGINNER-INTERMEDIATE

Ready to master age problems? This benchmark test features 20 beginner-intermediate-level challenges. Worksheet 12 of 30 sharpens your age equations skills. Master age ratios, age differences, sum of ages through guided practice. Perfect for developing test preparation.

📝 Worksheet 12 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 12 of 30 (40% complete)

Question 1

In 9 years, Oscar will be twice as old as Marco was 3 years ago. If Marco is 8 now, how old is Oscar now?
In 9 years: Oscar=Oscar(now)+9, Marco was 8-3=5 three years ago. Oscar(now)+9=2*5 => Oscar(now) = 2*5 - 9 = 1.
reverse

Question 2

Present ages of Lokesh, Akshay, Dilip are in ratio 4:5:6. Sum of ages is 90. Find Lokesh's age.
Let ages be 4x, 5x, 6x. Sum = 15x = 90, so x = 6. Lokesh = 4×6 = 24
complex_ratio

Question 3

The sum of A and B's ages is 60. Twice A's age minus B's age is 21. Find A's age.
A + B = 60
2A - B = 21
Adding the two equations: (A + B) + (2A - B) = 60 + 21
3A = 81
A = 27
Verification: B = 60 - 27 = 33
2(27) - 33 = 21 = 21 ✓
equation

Question 4

The average age of a group is 12. The sum of their ages is 36. How many people are there in the group?
Count = sum / average = 36 / 12 = 3
group_size

Question 5

Ratio of ages of Sloane to Waylon is 3:5, and the difference is 4. How old is Waylon?
Let Sloane = 3x, Waylon = 5x
Difference = 5x - 3x = 2x = 4
Therefore x = 4 ÷ 2 = 2
Waylon = 5 × 2 = 10
ratio

Question 6

Present ages of Priyanka, Aparna, Laksh are in ratio 2:3:4. Sum of ages is 63. Find Priyanka's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 63, so x = 7. Priyanka = 2×7 = 14
complex_ratio

Question 7

In 2024, the Gabriel family consists of: - Gabriel (Father): 47 years - Chitra (Mother): 43 years - George (Son): 16 years - Divya (Daughter): 10 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 136 What was the ratio of Gabriel's age to George's age 4 years ago?
4 years ago: Gabriel = 43, George = 12 → Ratio = 43:12
case_study, comprehensive

Question 8

In 6 years, Nira will be 3 times as old as Kuldeep will be then. Kuldeep's present age is 10. What is Nira's present age?
Nira+6=3*(10+6) -> Nira=3*(10+6)-6=42
multiple

Question 9

Family: Pranay, Manish, Indira, Samuel. Average age is 23. What is the sum of ages?
Total = 23*4 = 92
average

Question 10

One person's age is 3 times another. If sum of ages is 32, what are their ages?
Let x: base, 3x: second. x + 3x = 32 → x = 8, 3x = 24
geometry

Question 11

Grandfather is 58 years old, his son is 46 years old, and his grandson is 30 years old. What is the sum of their ages?
Sum = 58 + 46 + 30 = 134
family_tree

Question 12

In 2024, the Freya family consists of: - Freya (Father): 45 years - Joshua (Mother): 41 years - Naomi (Son): 15 years - Bella (Daughter): 9 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 What was the ratio of Freya's age to Naomi's age 7 years ago?
7 years ago: Freya = 38, Naomi = 8 → Ratio = 38:8
case_study, comprehensive

Question 13

Lucas is now 20. How old was Lucas 8 years ago?
Past: 20 - 8 = 12
tense

Question 14

Present ages of Darpan, Yashaswi, Sumit are in ratio 4:5:6. Sum of ages is 75. Find Darpan's age.
Let ages be 4x, 5x, 6x. Sum = 15x = 75, so x = 5. Darpan = 4×5 = 20
complex_ratio

Question 15

Present ages of Mila, Hemant, Claire are in ratio 3:4:5. Sum of ages is 72. Find Mila's age.
Let ages be 3x, 4x, 5x. Sum = 12x = 72, so x = 6. Mila = 3×6 = 18
complex_ratio

Question 16

Ages of 4 people George, Jahnavi, Sushant, Olivia are in AP. Their current sum is 76. After 4 years, sum will be 92. Find the youngest person's age.
In AP, sum increases by 4×4=16. Current ages form AP starting with 16.
AP

Question 17

Grandfather is 59 years old, his son is 46 years old, and his grandson is 26 years old. What is the sum of their ages?
Sum = 59 + 46 + 26 = 131
family_tree

Question 18

A is 18. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=25; 2A-4=32
olympiad_expression

Question 19

Family: Diego, Joshua, Everly, Ishaan. Average age is 19. What is the sum of ages?
Total = 19*4 = 76
average

Question 20

A is 15. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=22; 2A-4=26
olympiad_expression
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