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Average Replacement - Intermediate Level: tricky scenarios handling Average Replacement INTERMEDIATE

This expert challenge 📈 worksheet focuses on Average Replacement - a key topic in Age Based Puzzles. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve average replacement, average replacement tricks, and average replacement shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Average Replacement
Worksheet 5 of 10 (44% complete)

Question 1

The average age of 6 people is 30. If Pooja (age 22) leaves and a new person joins, the average becomes 34. Find the age of the new person.
Initial total = 30 × 6 = 180
After Pooja leaves: 180 - 22 = 158
New total = 34 × 6 = 204
New person's age = 204 - (158) = 46

Question 2

The average age of 4 people is 36. If Naina (age 26) leaves and a new person joins, the average becomes 43. Find the age of the new person.
Initial total = 36 × 4 = 144
After Naina leaves: 144 - 26 = 118
New total = 43 × 4 = 172
New person's age = 172 - (118) = 54

Question 3

The average age of 5 people is 25. If Kumud (age 30) leaves and a new person joins, the average becomes 23. Find the age of the new person.
Initial total = 25 × 5 = 125
After Kumud leaves: 125 - 30 = 95
New total = 23 × 5 = 115
New person's age = 115 - (95) = 20

Question 4

The average age of 5 people is 29. If Bhuvnesh (age 31) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 29 × 5 = 145
After Bhuvnesh leaves: 145 - 31 = 114
New total = 36 × 5 = 180
New person's age = 180 - (114) = 66

Question 5

The average age of 4 people is 40. If Ravi (age 35) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 40 × 4 = 160
After Ravi leaves: 160 - 35 = 125
New total = 36 × 4 = 144
New person's age = 144 - (125) = 19

Question 6

The average age of 6 people is 33. If Navya (age 46) leaves and a new person joins, the average becomes 35. Find the age of the new person.
Initial total = 33 × 6 = 198
After Navya leaves: 198 - 46 = 152
New total = 35 × 6 = 210
New person's age = 210 - (152) = 58

Question 7

The average age of 4 people is 35. If Karthik (age 48) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 35 × 4 = 140
After Karthik leaves: 140 - 48 = 92
New total = 36 × 4 = 144
New person's age = 144 - (92) = 52

Question 8

The average age of 5 people is 30. If Shikha (age 29) leaves and a new person joins, the average becomes 33. Find the age of the new person.
Initial total = 30 × 5 = 150
After Shikha leaves: 150 - 29 = 121
New total = 33 × 5 = 165
New person's age = 165 - (121) = 44

Question 9

The average age of 6 people is 35. If Ritu (age 49) leaves and a new person joins, the average becomes 35. Find the age of the new person.
Initial total = 35 × 6 = 210
After Ritu leaves: 210 - 49 = 161
New total = 35 × 6 = 210
New person's age = 210 - (161) = 49

Question 10

The average age of 6 people is 34. If Dharmesh (age 33) leaves and a new person joins, the average becomes 39. Find the age of the new person.
Initial total = 34 × 6 = 204
After Dharmesh leaves: 204 - 33 = 171
New total = 39 × 6 = 234
New person's age = 234 - (171) = 63

Question 11

The average age of 6 people is 37. If Serenity (age 25) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 37 × 6 = 222
After Serenity leaves: 222 - 25 = 197
New total = 37 × 6 = 222
New person's age = 222 - (197) = 25

Question 12

The average age of 5 people is 40. If Jaideep (age 41) leaves and a new person joins, the average becomes 43. Find the age of the new person.
Initial total = 40 × 5 = 200
After Jaideep leaves: 200 - 41 = 159
New total = 43 × 5 = 215
New person's age = 215 - (159) = 56

Question 13

The average age of 5 people is 34. If Lillian (age 41) leaves and a new person joins, the average becomes 38. Find the age of the new person.
Initial total = 34 × 5 = 170
After Lillian leaves: 170 - 41 = 129
New total = 38 × 5 = 190
New person's age = 190 - (129) = 61

Question 14

The average age of 4 people is 34. If Manoj (age 31) leaves and a new person joins, the average becomes 33. Find the age of the new person.
Initial total = 34 × 4 = 136
After Manoj leaves: 136 - 31 = 105
New total = 33 × 4 = 132
New person's age = 132 - (105) = 27

Question 15

The average age of 5 people is 39. If Chaman (age 27) leaves and a new person joins, the average becomes 42. Find the age of the new person.
Initial total = 39 × 5 = 195
After Chaman leaves: 195 - 27 = 168
New total = 42 × 5 = 210
New person's age = 210 - (168) = 42

Question 16

The average age of 4 people is 31. If Hannah (age 30) leaves and a new person joins, the average becomes 29. Find the age of the new person.
Initial total = 31 × 4 = 124
After Hannah leaves: 124 - 30 = 94
New total = 29 × 4 = 116
New person's age = 116 - (94) = 22

Question 17

The average age of 4 people is 32. If Kuldeep (age 33) leaves and a new person joins, the average becomes 30. Find the age of the new person.
Initial total = 32 × 4 = 128
After Kuldeep leaves: 128 - 33 = 95
New total = 30 × 4 = 120
New person's age = 120 - (95) = 25

Question 18

The average age of 6 people is 26. If Shravan (age 42) leaves and a new person joins, the average becomes 23. Find the age of the new person.
Initial total = 26 × 6 = 156
After Shravan leaves: 156 - 42 = 114
New total = 23 × 6 = 138
New person's age = 138 - (114) = 24

Question 19

The average age of 4 people is 25. If Enzo (age 32) leaves and a new person joins, the average becomes 33. Find the age of the new person.
Initial total = 25 × 4 = 100
After Enzo leaves: 100 - 32 = 68
New total = 33 × 4 = 132
New person's age = 132 - (68) = 64

Question 20

The average age of 5 people is 25. If Theo (age 38) leaves and a new person joins, the average becomes 31. Find the age of the new person.
Initial total = 25 × 5 = 125
After Theo leaves: 125 - 38 = 87
New total = 31 × 5 = 155
New person's age = 155 - (87) = 68
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