Question

The difference of two numbers is 624 . If the greater number is divided by the smaller number the quotient is 8 and the remainder is 19 . Find the numbers.

Answer 1

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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.