Question

the difference between two no is 642. when the greater is divided by samller , the quotient is 8and remainder is 19 . find the numbers

Answer 1

x-y=642 i.e., x>y --1
x/y = (8y+19)/y
=>x-8y=19 ---2
solve 1 and 2
7y= 623
y=89
x=731

Answer 2

GIven that ,

Dividend is greater than Divisor by 642. Therfore , let,

                   Dividend = x + 642.  

                  Divisor = x  

                  Quotient = 8

                    Remainder = 19. We know that,

Dividend = Divisor × Quotient + Remainder. Therefore,

x+642 + X.8 + 19.

X + 642 = 8X + 19.

642 - 19 = 8X - X

7X = 623

X = 623/7

X = 89.

Therefore, Divisor = 89  

              Dividend = X+642=731.