Arithmatical - Problems on Ages

DIRECTIONS : Problems based on Ages.
10. Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
  A.  5 years
  B.  10 years
  C.  20 years
  D.  25 years
Solution
Let Rajeev's present age be x years. Then
Rajeev's age 15 years = (x+15) years.
Rajeev's age 5 years back = (x-5) years.
Therefore‹=› x+15=5(x-5)
‹=› x+15= 5x-25
‹=› 4x=40
‹=› x=10.
11. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
  A.  14 years
  B.  18 years
  C.  20 years
  D.  22 years
Solution
Let the son's present age be x years .Then, man's present age= (x+24)years.
Then‹=›(x+24)+2= 2(x+2)
‹=›x+26=2x+4
x= 22.

12. Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5?
  A.  5 years
  B.  10 years
  C.  20 years
  D.  37 years
Solution
Suppose, the ratio was 3 : 5, x years ago.
Then,40 - x / 60 - x
= 3 / 5.
‹=›5(40-x)=3(60-x)
‹=›2x= 20
‹=›x= 10.
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