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.
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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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