Mathematics
Age Problems
The present ages of A and B add up to 71 years, and A is 11 years older than B. What is B's present age?
A. 32
B. 28
C. 41
D. 30
Correct Answer: D
If B=x, then A=x+11. Thus 2x+11=71, so x=30.
Mathematics
Age Problems
A person is 31 years old now. What was the age 7 years earlier?
A. 25
B. 22
C. 24
D. 38
Correct Answer: C
Past age = 31 − 7 = 24 years.
Mathematics
Age Problems
A person is 22 years old at present. What will the age be after 9 years?
A. 13
B. 30
C. 31
D. 32
Correct Answer: C
Future age = 22 + 9 = 31 years.
Mathematics
Age Problems
A father is 36 years old and his son is 14. What will be the difference between their ages after 5 years?
A. 50
B. 27
C. 17
D. 22
Correct Answer: D
Age difference remains constant: 36 − 14 = 22 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 4:1. Their total age is 50 years. What is the age of the older person?
A. 50
B. 41
C. 40
D. 10
Correct Answer: C
One ratio part = 50 ÷ 5 = 10; older age = 4 × 10 = 40.
Mathematics
Age Problems
The present ages of A and B add up to 70 years, and A is 14 years older than B. What is B's present age?
A. 42
B. 30
C. 26
D. 28
Correct Answer: D
If B=x, then A=x+14. Thus 2x+14=70, so x=28.
Mathematics
Age Problems
A person is 44 years old now. What was the age 4 years earlier?
A. 48
B. 38
C. 41
D. 40
Correct Answer: D
Past age = 44 − 4 = 40 years.
Mathematics
Age Problems
A person is 42 years old at present. What will the age be after 4 years?
A. 38
B. 46
C. 45
D. 47
Correct Answer: B
Future age = 42 + 4 = 46 years.
Mathematics
Age Problems
A father is 42 years old and his son is 16. What will be the difference between their ages after 8 years?
A. 18
B. 34
C. 58
D. 26
Correct Answer: D
Age difference remains constant: 42 − 16 = 26 years.
Mathematics
Age Problems
The present ages of A and B add up to 42 years, and A is 12 years older than B. What is B's present age?
A. 15
B. 27
C. 17
D. 13
Correct Answer: A
If B=x, then A=x+12. Thus 2x+12=42, so x=15.
Mathematics
Age Problems
A person is 24 years old now. What was the age 7 years earlier?
A. 31
B. 17
C. 15
D. 18
Correct Answer: B
Past age = 24 − 7 = 17 years.
Mathematics
Age Problems
A person is 22 years old at present. What will the age be after 14 years?
A. 37
B. 8
C. 35
D. 36
Correct Answer: D
Future age = 22 + 14 = 36 years.
Mathematics
Age Problems
A father is 53 years old and his son is 19. What will be the difference between their ages after 3 years?
A. 34
B. 37
C. 31
D. 72
Correct Answer: A
Age difference remains constant: 53 − 19 = 34 years.
Mathematics
Age Problems
The present ages of two persons are in the ratio 2:1. Their total age is 30 years. What is the age of the older person?
A. 21
B. 10
C. 20
D. 30
Correct Answer: C
One ratio part = 30 ÷ 3 = 10; older age = 2 × 10 = 20.
Mathematics
Age Problems
The present ages of A and B add up to 52 years, and A is 10 years older than B. What is B's present age?
A. 19
B. 21
C. 23
D. 31
Correct Answer: B
If B=x, then A=x+10. Thus 2x+10=52, so x=21.
Mathematics
Age Problems
A person is 42 years old now. What was the age 11 years earlier?
A. 32
B. 31
C. 29
D. 53
Correct Answer: B
Past age = 42 − 11 = 31 years.
Mathematics
Age Problems
A person is 30 years old at present. What will the age be after 5 years?
A. 35
B. 34
C. 25
D. 36
Correct Answer: A
Future age = 30 + 5 = 35 years.
Mathematics
Age Problems
A father is 46 years old and his son is 21. What will be the difference between their ages after 6 years?
A. 67
B. 19
C. 25
D. 31
Correct Answer: C
Age difference remains constant: 46 − 21 = 25 years.
Mathematics
Age Problems
The present ages of A and B add up to 63 years, and A is 21 years older than B. What is B's present age?
A. 21
B. 42
C. 19
D. 23
Correct Answer: A
If B=x, then A=x+21. Thus 2x+21=63, so x=21.
Mathematics
Age Problems
A person is 31 years old now. What was the age 4 years earlier?
A. 27
B. 28
C. 35
D. 25
Correct Answer: A
Past age = 31 − 4 = 27 years.