Question

I have a certain number of marbles to divide equally among 18 boys.. If no of Marbles's and no of boys were increased by two. Each would receive 5 marbles less.. How many marbles do I have to distribute

Answer 1

let number of marbles each boy gets initially be m, then total number of marbles = 18m
after increase,
number of boys 20
number of marbles 18m+2
number of marbles each would receive is 18m+2/20 and it is also given as m-5
equating both, we get 18m+2= 20m-100
2m=102 and m= 51

so initially each boy got 51 marbles, so total number of marbles to be distributed initially is 51*18= 918 marbles