Question

The difference between two numbers is 642. When the greater number
is divided by the smaller number, the quotient is 8 and the remainder is 19.
What are the number?

Answer 1

Answer:

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Step-by-step explanation:

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.

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.