Can you find out how much did the youngest one receive?

Question

A man had five children. Upon receiving his salary, he called all of them. He had Rs 100 with him to give to his children. He decided to start with the youngest child and then give Rs 2 more than each younger child to his next elder child.

For example, if he gives Rs x to the youngest child, he will give Rs (x+2) to the next one, Rs [(x+2) + 2] to the next one and so on.

Can you find out how much did the youngest one receive?

Answer 1

Lets assume youngest one got Rs x, therefore

x+(x+2)+(x+4)+(x+6)+(x+8) = 100
5x + 20 = 100
5x = 80
x = 16

so youngest one got 16 Rs.