the ages of two friends Ani and Biju differ by 3 years and his father Dharam is twice as old as Ani and Biju is twice as old as a sister Cathy the ages of Cathy and Dharam differ by 30 years find the ages of Ani and Biju .
Answers
Given:
The ages of two friends Ani and Biju differ by 3 years. Ani's father Dharam is twice as Ani and Biju is twice as old as his sister Cathy.
The ages of Cathy and Dhara by 30 years.
Find:
The ages of Ani and Biju.
Solution:
The difference between the ages of Biju and Ani is 3 years.
Biju is 3 years older than Ani or Ani is 3 years older. Ani's father age will be 30 years more than of cath's age.
Let the age of Ani and Biju be x and y year's.
Therefore, age of Ani's father , Dharam = 2 × x = 2x years.
And age of Biju's sister Cathy = y/2 years.
Case 1.
Ani is older than Biju by 3 years.
=> x - y = 3 ........(i).
=> 2x - y/2 = 3
=> 4x - y = 60 .....(ii).
Subtracting (ii). from (i). we get
=> x = 57/3
=> x = 19
Therefore, age of Ani = 19 years and age of Biju = 19 - 3 = 16 years.
Case 2.
Biju is older than Ani.
=> y - x = 3 .......(i)
=> 2x - y/2 = 30
=> 4x - y = 60 ......(ii).
Subtracting (ii). from (i). we get
=> x = 63/3
=> x = 21
Therefore, age of Ani = 21 years.
And age of Biju = 21 + 3 = 24 years.
I hope it will help you.
Regards.
Biju is older than Ani.
=> y - x = 3 .......(i)
=> 2x - y/2 = 30
=> 4x - y = 60 ......(ii).
Subtracting (ii). from (i). we get
=> x = 63/3
=> x = 21