Mathematics
Age Problems
The present ages of A and B add up to 72 years, and A is 16 years older than B. What is B's present age?
A. 28
B. 44
C. 30
D. 26
Correct Answer: A
If B=x, then A=x+16. Thus 2x+16=72, so x=28.
Mathematics
Age Problems
A person is 47 years old now. What was the age 12 years earlier?
A. 36
B. 59
C. 33
D. 35
Correct Answer: D
Past age = 47 − 12 = 35 years.
Mathematics
Age Problems
A person is 50 years old at present. What will the age be after 6 years?
A. 57
B. 44
C. 56
D. 55
Correct Answer: C
Future age = 50 + 6 = 56 years.
Mathematics
Age Problems
A father is 41 years old and his son is 19. What will be the difference between their ages after 4 years?
A. 26
B. 60
C. 22
D. 18
Correct Answer: C
Age difference remains constant: 41 − 19 = 22 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 3:2. Their total age is 25 years. What is the age of the older person?
A. 5
B. 20
C. 15
D. 10
Correct Answer: C
One ratio part = 25 ÷ 5 = 5; older age = 3 × 5 = 15.
Mathematics
Age Problems
The present ages of A and B add up to 62 years, and A is 22 years older than B. What is B's present age?
A. 42
B. 18
C. 22
D. 20
Correct Answer: D
If B=x, then A=x+22. Thus 2x+22=62, so x=20.
Mathematics
Age Problems
A person is 53 years old now. What was the age 14 years earlier?
A. 39
B. 37
C. 67
D. 40
Correct Answer: A
Past age = 53 − 14 = 39 years.
Mathematics
Age Problems
A person is 32 years old at present. What will the age be after 14 years?
A. 46
B. 45
C. 47
D. 18
Correct Answer: A
Future age = 32 + 14 = 46 years.
Mathematics
Age Problems
A father is 43 years old and his son is 10. What will be the difference between their ages after 7 years?
A. 26
B. 53
C. 40
D. 33
Correct Answer: D
Age difference remains constant: 43 − 10 = 33 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 2:1. Their total age is 24 years. What is the age of the older person?
A. 24
B. 8
C. 17
D. 16
Correct Answer: D
One ratio part = 24 ÷ 3 = 8; older age = 2 × 8 = 16.
Mathematics
Age Problems
The present ages of A and B add up to 47 years, and A is 21 years older than B. What is B's present age?
A. 11
B. 13
C. 34
D. 15
Correct Answer: B
If B=x, then A=x+21. Thus 2x+21=47, so x=13.
Mathematics
Age Problems
A person is 38 years old now. What was the age 12 years earlier?
A. 26
B. 27
C. 24
D. 50
Correct Answer: A
Past age = 38 − 12 = 26 years.
Mathematics
Age Problems
A person is 60 years old at present. What will the age be after 2 years?
A. 58
B. 61
C. 63
D. 62
Correct Answer: D
Future age = 60 + 2 = 62 years.
Mathematics
Age Problems
A father is 43 years old and his son is 17. What will be the difference between their ages after 2 years?
A. 26
B. 24
C. 28
D. 60
Correct Answer: A
Age difference remains constant: 43 − 17 = 26 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 5:2. Their total age is 63 years. What is the age of the older person?
A. 9
B. 18
C. 54
D. 45
Correct Answer: D
One ratio part = 63 ÷ 7 = 9; older age = 5 × 9 = 45.
Mathematics
Age Problems
The present ages of A and B add up to 35 years, and A is 15 years older than B. What is B's present age?
A. 10
B. 12
C. 25
D. 8
Correct Answer: A
If B=x, then A=x+15. Thus 2x+15=35, so x=10.
Mathematics
Age Problems
A person is 46 years old now. What was the age 12 years earlier?
A. 58
B. 35
C. 32
D. 34
Correct Answer: D
Past age = 46 − 12 = 34 years.
Mathematics
Age Problems
A person is 39 years old at present. What will the age be after 11 years?
A. 49
B. 51
C. 50
D. 28
Correct Answer: C
Future age = 39 + 11 = 50 years.
Mathematics
Age Problems
A father is 50 years old and his son is 22. What will be the difference between their ages after 5 years?
A. 23
B. 72
C. 33
D. 28
Correct Answer: D
Age difference remains constant: 50 − 22 = 28 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 4:1. Their total age is 35 years. What is the age of the older person?
A. 28
B. 29
C. 7
D. 35
Correct Answer: A
One ratio part = 35 ÷ 5 = 7; older age = 4 × 7 = 28.