Question

I Amount divided equally ?
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Answer 1

Answer:

Let the total number of children be N.

Now, each child gets Rs. N7500

If there were 20 children less, each child gets Rs. N−207500

According to given condition,

N−207500=N7500+100

∴7500N=7500(N−20)+100N(N−20)

∴75N=75(N−20)+N(N−20)

∴75N=75N−1500+N2−20N

∴N2−20N−1500=0

∴(N−50)(N+30)=0

∴N=50 or N=−30

But, number of children cannot be negative hence, N=50

The original number of children is 50.