Question

if the difference between two numbers is 642. when the greater is divided by the smaller the quotient is 8 and the remainder is 19. find the numbers

Answer 1

Answer:

Let the smaller no. be x

let the greater no. be x×8+19

Step-by-step explanation:

8x+19- x=642

8x-x+19=642

7x=642-19

7x=623

x=623/7

x=89

Smaller no.=89

Greater no.=89×8+19

=731

CROSS CHECK

731-89=642

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.