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The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju.
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The difference between the ages of Biju and Ani is 3 years. Either Biju is 3 years older than Ani or Ani is 3 years older than Biju. However, it is obvious that in both cases, Ani's father's age will be 30 years more than that of Cathy's age.
Let the age of Ani and Biju be x and y years respectively.
Therefore, age of Ani's father, Dharam = 2 × x = 2x years
Biju's sister Cathy And age of = years
By using the information given in the question,
Case (I) When Ani is older than Biju by 3 years, x - y = 3 (i)
2x -= 30
4x - y = 60 (ii)
Subtracting (i) from (ii), we obtain 3x = 60 - 3 = 57
x -= 19
Therefore, age of Ani = 19 years
And age of Biju = 19 - 3 = 16 years
Case (II) When Biju is older than Ani, y - x = 3 (i)
2x -= 30
4x - y = 60 (ii)
Adding (i) and (ii), we obtain 3x = 63
x = 21
Therefore, age of Ani = 21 years
And age of Biju = 21 + 3 = 24 years
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