Question

The difference between two numbers is 642. When the greater is divided by the

smaller, the quotient is 8 and the remainder is 19, then the sum of the cube of numbers​

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

Answer:

Let those two numbers be x and y

x - y = 642

x = 642 + y ......(1)

and x will be greater number as 642 is positive

( in subtraction)

so x ÷ y is giving you quotient as 8 and

remainder as 19

so we can say that ( y × 8 )+ 19 = x

8y = x - 19

from (1)

8y = 642 + y - 19

8y - y = 623

7y = 623

y = 623 / 7

y = 89

using (1)

x = 642 + 89

x = 731

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Step-by-step explanation:

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