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Answer to Q88

A flock of birds flying met a single bird.

The single bird greeted the flock "hello hundred" but the flock replied "we are not hundred, half of us plus you will make us hundred". How many birds were flying?


Let the number of birds in the flock be x

But half of x plus 1 will make a hundred
so,
(x ÷ 2) + 1 = 100
x ÷ 2 = 99
x = 99 * 2
x = 198

So, number of birds in the flock is 198.

But here is the tricky part, the question asked "How many birds were flying?" NOT "What is the number of birds in the flock?". The single bird that greeted the flock was also flying (if he wasn't flying how would he have met the flying flock?).

So, number of birds flying = number of flock + single bird
= 198 + 1
= 199

Answer: 199

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Answer to Q88

A flock of birds flying met a single bird.

The single bird greeted the flock "hello hundred" but the flock replied "we are not hundred, half of us plus you will make us hundred". How many birds were flying?


Let the number of birds in the flock be x

But half of x plus 1 will make a hundred
so,
(x ÷ 2) + 1 = 100
x ÷ 2 = 99
x = 99 * 2
x = 198

So, number of birds in the flock is 198.

But here is the tricky part, the question asked "How many birds were flying?" NOT "What is the number of birds in the flock?". The single bird that greeted the flock was also flying (if he wasn't flying how would he have met the flying flock?).

So, number of birds flying = number of flock + single bird
= 198 + 1
= 199

Answer: 199

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