POPUWW
1. The ages of two friends Ani and Biju differ by 3 years. Ani's father Dharam stwie
as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and
by 30 years. Find the ages of Ani and Biju.
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Answer:
Let the ages of Ani be A
Let the age of Biju be B
Hence, the age of Dharam = 2 x A = 2A yrs.
The age of Biju sister Ani B/2 yrs
As per the given conditions will solve
Case (i)
When Ani is older than that of Biju
A – B = 3 – – – – – – – – (1) {older by 3 years}
2A−B/2 = 30
4A – B = 60 – – – – – – – – – – – (2)
By subtracting the equations (1) and (2) we get,
3A = 60 – 3 = 57
A = 57/3 = 19
The age of Ani = 19 yrs
The age of Biju is 19 – 3 = 16 yrs.
Case (ii)
When Biju is older than Ani,
B – A = 3 – – – – – – – – – (1) {older by 3 years}
2A − B/2 = 30
4A – B = 60 – – – – – – – – – (2)
Adding the equation (1) and (2) we get,
3A = 63
A = 21
Answer
The age of Ani is 21 yrs
The age of Biju is 21 + 3 = 24 yrs.
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