Question

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Q.The difference of two numbers is 642. When the greater number is divided by the smaller number, the quotient is 8 and the remainder is 19. Find the remaining numbers.

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Answer 1

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

#RAM RAM ji ❤ ^_^

ĀNSWĒR ⏬⏬

let those two number be x and y

let x will be the greato Number
so according to question ➡

The difference of two Numbers is 642.

So,

x-y =642

so , x= 642 +y ( equation 1 )

also, according to question x will be greater number as 642

so, according to given condition on dividing x÷y quotient is 8 and remainder is 19

so , we can say that (y×8)+19=x

8y=x-19

Now ,

from equation 1

8y =642 +y-19

8y -y = 623

7y =623

y= 723 /7

so,y= 89

NOw,

by using equation 1

we get ,

x=642 +89

x=731


So , remaining Numbers are 731 and 89

THANKS ✌☺

#NAVI ❤ HARYANVI ♠