Question

The differwnce between two numbers is 642 when greater number is divided by the smaller no. Quotient is 8 n remainder is 19 find greater no.

Answer 1

Answer:

Let the numbers be = x, y

We get to know that :

x - y = 642 ( in case you decide "x" > "y" ) ...(1)

Now, we know that Euclid's Division Lemma -》 a = bq + r

According to the given question, we get that :

x = 8y + 19 ...(2)

Put (2) in (1):

=》 8y + 19 - y = 642

=》 y = 89

x = 731

Larger number = 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.