# Problems on Ages ( 21 to 25 )

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Problems on Ages ( 21 to 25 ):

# APTITUDE QUESTIONS (PROBLEMS ON AGES):

21. The difference between the ages of two persons is 10 years. Twenty years ago, the elder one was twice as old as the younger one. The present age of the elder person is:

A)    35 years

B)    40 years

C)    45 years

D)    55 years

E)    None of these

Explanation:

Let us consider their ages be x years and (x + 10) years respectively.

Then, (x + 10) – 20 = 2 (x – 20) <=> x – 10 = 2x – 40 <=> x = 30

∴ Present age of the elder person = (x + 10) = 40 years.

22. In 10 years, X will be twice as old as Y was 10 years ago. If X is now 8 years older than Y, the present age of Y is:

A)    18 years

B)    28 years

C)    38 years

D)    48 years

E)    None of these

Explanation:

Let Y’s present age = x years.

Then, X’s present age = (x + 8) years.

∴ (x + 8) + 10 = 2 ( x – 10) <=> x + 18 = 2x – 20 <=> x = 38

23. Ayushi’s father was 40 years of age when she was born while her mother was 38 years old when her brother five years younger to her was born. What is the difference between the ages of her parents?

A)    2 years

B)    4 years

C)    7 years

D)    8 years

E)    None of these

Explanation:

Mother’s age when Ayushi’s brother was born = 38 years

Father’s age when Ayushi’s brother was born = (40 + 5) = 45 years

∴ required difference = (45 – 38) years = 7 years

24. My brother is 3 years elder to me. My father was 30 years of age when my sister was born while my mother was 28 years of age when I was born. If my sister was 5 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?

A)    32 yrs, 23 yrs

B)    35 yrs, 25 yrs

C)    35 yrs, 29 yrs

D)    35 yrs, 33 yrs

E)    None of these

Explanation:

Clearly, my brother was born 3 years before I was born and 5 years after my sister was born.

So, father’s age when brother was born = (30 + 5) years = 35 years.

mother’s age when brother was born = (28 – 3) years = 25 years.

25. A person was asked to state his age in years. His reply was, “take my age three years later, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What is the age of the person?

A)    18 years

B)    20 years

C)    24 years

D)    32 years

E)    None of these

Explanation:

Let us consider the present age of the person be x years.

Then, 3(x + 3) – 3 (x – 3) = x <=> (3x + 9) – (3x – 9) = x <=> x = 18