In a cage, there are sparrows, parrots and doves in the ratio 3:7:5. If the number of parrots was more than the
number of sparrows by a multiple of both 9 and 7, what is the minimum number of birds in the cage?
945
630
238
None of these
Answers
Answer:
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Step-by-step explanation:
In a cage, there are sparrows, parrots and doves in the ratio 3:7:5. If the number of parrots was more than the
number of sparrows by a multiple of both 9 and 7, what is the minimum number of birds in the cage?
945
630
238
None of these
Answer:
If three kinds of birds are taken be 3k,7k and 5k respectively, then 7k−3k=63p (where p is any positive integer).
As the number is a multiple of both 9 and 7, it has to be multiple of 63.
⇒k=63p4
Minimum value of p for which k is a natural number is 4.
Thus, k=63.
Hence, the number of birds =15k= 945