Arithmatical - Problems on Ages

DIRECTIONS : Problems based on Ages.
7. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
  A.  2 years
  B.  4 years
  C.  6years
  D.  12 years
Solution
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born
= (38+4) years.
= 42 years.
Required difference= (42-36)
= 6 years.
8. Sneh's age is 1/6 th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?
  A.  10 years
  B.  25 years
  C.  35 years
  D.  None of these
Solution
Vimal's age after 10 years= (8+2+10)years
= 20 years.
Sneh's father age after 10 years= 40 years
Sneh's father Present age = 30 years
Therefore Sneh's age= (1/6 x 30)years
= 5 years.

9. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
  A.  32 years
  B.  36 years
  C.  40 years
  D.  48 years
Solution
Let the mother's present age be x years.Then, the person's present age = (2/5 x) years.
Therefore=[2/5x+8]
= 1/2(x+8)
= 2(2x+40)
=5(x+8)
= 40 years.
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