Age Problems - Beginner Level: age ratios BEGINNER

Boost your speed and accuracy with this beginner friendly ๐Ÿ“ˆ worksheet. Worksheet 5 of 30 presents 20 beginner-level age problems problems. Focus on age ratios while practicing age ratios, age differences, sum of ages. Difficulty: foundational concepts and basic patterns. Perfect for entry-level test takers.

๐Ÿ“ Worksheet 5 of 30 โ€ข 20 questions โ€ข โฑ๏ธ Estimated time: 20 minutes โ€ข ๐ŸŽฏ Beginner level

What you'll learn in this worksheet:
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Worksheet 5 of 30 (16% complete)

Question 1

Mila is 30% younger than Arlo. If Arlo is 33 years, how old is Mila?
Mila = 33 - (30% of 33) = 33 - 9 = 24

Question 2

Sum of A and B's ages is 57. After 7 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 57, (A+7) = 3*(B+7) โ†’ A = 46.2 โ†’ max A = 46

Question 3

Vaibhav is now 23. How old was Vaibhav 7 years ago?
Past: 23 - 7 = 16

Question 4

A is 4 years older than B. If B is 11 and A is 9, is the data correct?
If B is 11, A should be 15. But A is 9. Data is inconsistent.

Question 5

The sum of ages of all family members is 150 and their average age is 25. How many members are there in the family?
number = total / average = 150 / 25 = 6

Question 6

In 9 years, Dhruv will be twice as old as Peter was 3 years ago. If Peter is 15 now, how old is Dhruv now?
In 9 years: Dhruv=Dhruv(now)+9, Peter was 15-3=12 three years ago. Dhruv(now)+9=2*12 => Dhruv(now) = 2*12 - 9 = 15.

Question 7

Ratio of ages of Niyati to Everett is 4:5, and the difference is 9. How old is Everett?
Let Niyati = 4x, Everett = 5x
Difference = 5x - 4x = 1x = 9
Therefore x = 9 รท 1 = 9
Everett = 5 ร— 9 = 45

Question 8

10 years ago, A was half as old as B. In 5 years, what will be the age difference between B and A?
10 years ago: A was 20, B was 30. Check: 20 = ยฝ ร— 30 โœ“
Present ages: A = 30, B = 40
In 5 years: A = 35, B = 45
Age difference = |45 - 35| = 10
(Age difference stays constant over time = B - A = 10)

Question 9

A car travels 88 km at 44 km/h. The driver's age is 2 times the travel time in hours. How old is the driver?
Time = Distance/Speed = 88/44 = 2 hours. Driver's age = 2 ร— 2 = 4

Question 10

Statement 1: A is 5 years older than B. Statement 2: B is 14 years old.
B's age is given, so A's age is just B+5.

Question 11

Sum of A and B's ages is 51. After 9 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 51, (A+9) = 2*(B+9) โ†’ A = 37.0 โ†’ max A = 37

Question 12

Ages of 6 family members: [38, 36, 33, 15, 17, 33]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 2, total: 6, prob = 2/6

Question 13

Christopher and Parvathy together are 28. If Christopher is 18, what is Parvathy's age?
Parvathy = 28 - 18 = 10

Question 14

In 6 years, Jyoti will be 3 times as old as Kamini will be then. Kamini's present age is 7. What is Jyoti's present age?
Jyoti+6=3*(7+6) -> Jyoti=3*(7+6)-6=33

Question 15

A is 13 years older than B. A's age equals the cost price (โ‚น117) and B's age equals the selling price when profit is 50%. Find A's age.
Given: A = cost price = 117, B = selling price = 175. Age difference matches: 117 - 175 = -58

Question 16

Ages of 3 people Sanyam, Ava, Neeraj are in AP. Their current sum is 60. After 3 years, sum will be 69. Find the youngest person's age.
In AP, sum increases by 3ร—3=9. Current ages form AP starting with 16.

Question 17

In 2024, the Prateek family consists of: - Prateek (Father): 49 years - Shakti (Mother): 44 years - Matthew (Son): 16 years - Neelam (Daughter): 11 years Additional information: โ€ข Father is 4 times as old as daughter was 5 years ago โ€ข Mother was 25 years old when son was born โ€ข In 5 years, sum of all ages will be 140 Based on the relationships, what is Neelam's current age?
From given relationships, Neelam's age = 11

Question 18

Tarun is 4 years younger than Daniel. If Daniel is 13, how old is Tarun?
Tarun = Daniel - 4 = 13 - 4 = 9

Question 19

A is 20 years old. In 19 years, A will complete 2 tasks per year. How many tasks will A have completed altogether after 19 years?
Each year, task: 2. For 19 years: 19 ร— 2 = 38

Question 20

A and B's ages sum to 59. A is between 3 and 2 times as old as B. What is the minimum possible age of A?
A + B = 59, A/B between 3 and 2. For min A, take A/B = 3 โ†’ B = 14.8, A = 44.2 โ†’ min A = 45
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