Question

the difference between two numbers is 642. When the greater no is divided by the smaller the quotient is 8 and remander is 19. Find the number

Answer 1

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.

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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.