Question

A sum of money was distributed equally in a class of boys. Had there been 10 boys more, each would have

received a rupee less and had there been 15 lesser, each would have received Rs.3 more. Find the sum of money

and the number of boys.​

Answer 1

Answer:Let the sum of rupee be x and no of boys be y then each boy get x/y now if the no of boys increased by 10 each boy get x/(y+10) = (x/y)-1 => x/(y+10) = (x-y)/y ............,.(1) now case 2nd if no of boys decrease by 15 each boy get x/(y-15)= (x/y) +3 => x/(y-15) = (x+3y)/y ...........(2) solve the equations and get the answer

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