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Average Replacement: Worksheet 10 - Expert Practice Average Replacement EXPERT

Ready to master Average Replacement? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve average replacement reasoning tricks, handle fast average replacement solving, and perfect average replacement mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Average Replacement
Worksheet 10 of 10 (100% complete)

Question 1

The average age of 4 people is 37. If Manish (age 49) leaves and a new person joins, the average becomes 34. Find the age of the new person.
Initial total = 37 × 4 = 148
After Manish leaves: 148 - 49 = 99
New total = 34 × 4 = 136
New person's age = 136 - (99) = 37

Question 2

The average age of 4 people is 34. If Charlotte (age 39) leaves and a new person joins, the average becomes 40. Find the age of the new person.
Initial total = 34 × 4 = 136
After Charlotte leaves: 136 - 39 = 97
New total = 40 × 4 = 160
New person's age = 160 - (97) = 63

Question 3

The average age of 5 people is 33. If Vivian (age 40) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 33 × 5 = 165
After Vivian leaves: 165 - 40 = 125
New total = 37 × 5 = 185
New person's age = 185 - (125) = 60

Question 4

The average age of 5 people is 37. If Anjali (age 42) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 37 × 5 = 185
After Anjali leaves: 185 - 42 = 143
New total = 36 × 5 = 180
New person's age = 180 - (143) = 37

Question 5

The average age of 6 people is 37. If Clara (age 45) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 37 × 6 = 222
After Clara leaves: 222 - 45 = 177
New total = 36 × 6 = 216
New person's age = 216 - (177) = 39

Question 6

The average age of 5 people is 35. If Harper (age 23) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 35 × 5 = 175
After Harper leaves: 175 - 23 = 152
New total = 36 × 5 = 180
New person's age = 180 - (152) = 28

Question 7

The average age of 6 people is 25. If Austin (age 42) leaves and a new person joins, the average becomes 24. Find the age of the new person.
Initial total = 25 × 6 = 150
After Austin leaves: 150 - 42 = 108
New total = 24 × 6 = 144
New person's age = 144 - (108) = 36

Question 8

The average age of 4 people is 34. If Kamini (age 20) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 34 × 4 = 136
After Kamini leaves: 136 - 20 = 116
New total = 37 × 4 = 148
New person's age = 148 - (116) = 32

Question 9

The average age of 5 people is 27. If Evelyn (age 33) leaves and a new person joins, the average becomes 34. Find the age of the new person.
Initial total = 27 × 5 = 135
After Evelyn leaves: 135 - 33 = 102
New total = 34 × 5 = 170
New person's age = 170 - (102) = 68

Question 10

The average age of 5 people is 29. If Katia (age 46) leaves and a new person joins, the average becomes 32. Find the age of the new person.
Initial total = 29 × 5 = 145
After Katia leaves: 145 - 46 = 99
New total = 32 × 5 = 160
New person's age = 160 - (99) = 61

Question 11

The average age of 5 people is 32. If Eliana (age 29) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 32 × 5 = 160
After Eliana leaves: 160 - 29 = 131
New total = 37 × 5 = 185
New person's age = 185 - (131) = 54

Question 12

The average age of 5 people is 29. If Rylee (age 22) leaves and a new person joins, the average becomes 30. Find the age of the new person.
Initial total = 29 × 5 = 145
After Rylee leaves: 145 - 22 = 123
New total = 30 × 5 = 150
New person's age = 150 - (123) = 27

Question 13

The average age of 4 people is 32. If Hugo (age 41) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 32 × 4 = 128
After Hugo leaves: 128 - 41 = 87
New total = 37 × 4 = 148
New person's age = 148 - (87) = 61

Question 14

The average age of 6 people is 25. If Leon (age 43) leaves and a new person joins, the average becomes 23. Find the age of the new person.
Initial total = 25 × 6 = 150
After Leon leaves: 150 - 43 = 107
New total = 23 × 6 = 138
New person's age = 138 - (107) = 31

Question 15

The average age of 5 people is 33. If Kamini (age 46) leaves and a new person joins, the average becomes 35. Find the age of the new person.
Initial total = 33 × 5 = 165
After Kamini leaves: 165 - 46 = 119
New total = 35 × 5 = 175
New person's age = 175 - (119) = 56

Question 16

The average age of 4 people is 31. If Ivan (age 35) leaves and a new person joins, the average becomes 37. Find the age of the new person.
Initial total = 31 × 4 = 124
After Ivan leaves: 124 - 35 = 89
New total = 37 × 4 = 148
New person's age = 148 - (89) = 59

Question 17

The average age of 6 people is 37. If Peter (age 46) leaves and a new person joins, the average becomes 35. Find the age of the new person.
Initial total = 37 × 6 = 222
After Peter leaves: 222 - 46 = 176
New total = 35 × 6 = 210
New person's age = 210 - (176) = 34

Question 18

The average age of 4 people is 33. If Sumit (age 34) leaves and a new person joins, the average becomes 36. Find the age of the new person.
Initial total = 33 × 4 = 132
After Sumit leaves: 132 - 34 = 98
New total = 36 × 4 = 144
New person's age = 144 - (98) = 46

Question 19

The average age of 4 people is 40. If Manju (age 33) leaves and a new person joins, the average becomes 44. Find the age of the new person.
Initial total = 40 × 4 = 160
After Manju leaves: 160 - 33 = 127
New total = 44 × 4 = 176
New person's age = 176 - (127) = 49

Question 20

The average age of 4 people is 27. If Arthur (age 36) leaves and a new person joins, the average becomes 27. Find the age of the new person.
Initial total = 27 × 4 = 108
After Arthur leaves: 108 - 36 = 72
New total = 27 × 4 = 108
New person's age = 108 - (72) = 36
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