Tricks of Age Questions

 Tricks

1. If present age of the father is F times the age of his son. T years hence, the father's age become Z times the age of son then present age of his son is given by [(Z - 1)T / (F - Z)]

Q. Present age of the father is 9 times the age of his son. One year later father's age become 7 times of his son. What are the present ages of the father and his son.

                a) 27              b) 30

              c) 36              d) 43

Solution 

Son's age = [( 7- 1) ×1] / [9 - 7]

                  = 6 / 2

                  = 3

So father's age = 9 × son's age

                            = 9 × 3

                            = 27 years

2. If T years earlier the age of the father was n times the age of his son, t years hence the age of the father becomes m times the age of his son then his son's age is given by

Son's age = [T ( n - 1) + t ( m - 1)] / ( n - m)

Q. 10 years ago Ravi's mother was 4 times older than her. After 10 years the mother will be twice older than the daughter. What is the present age of Ravi?

                 a) 16              b) 20

               c) 21              d) 35

Solution 

Ravi's age = [ 10 ( 4- 1) + 10 ( 2 - 1)] / ( 4 - 2)

                   = 20

3. Present age of Father : Son = a : b

After/ before T years = m : n

Then Son's age = b × [ T (m - n) / ( an - bm)] 

and father's age = a ×[T (m - n) / (an - bm)] 

Q. The ratio of the ages of the father and the son at present is 3 : 1, four years earlier, the ratio was 4 : 1. What are the present ages of the son and the father? 

Solution

Ratio of present age of father and son = 3 : 1

4 years before = 4 : 1

Son's age = 1× [ 4 ( 4- 1) / ( 4×1 - 3×1)]

                 = 12

Father's age = 3 × [ 4 (4 - 1) / (4×1 - 3×1)]

                       = 36

Shortcut tricks of Work and Wages