Can you complete this sentence using words which are anagrams of each other?

At the school recently, only the ==?== students could solve the ==?== equation.

A rich aristocrat decided that he would give every man 45 dollars and every woman 60 dollars.

Only one ninth of the men and only one twelfth of the women collected their dues.

Can you tell me how much money the aristocrat spent if there were 3552 people in total?

Can you find a five digit number...

...whose digits add to 18 and whose product is 210 and the digits increase from left to right in the number?

What number comes next in this sequence:

1 4 8 13 21 30 36 ==?==