Question

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

Answer 1

Answer:

larger no.is535 and smaller is 89

Step-by-step explanation:

x-y=642...as said

x=y×8+19...divided by smaller no.and add the remainder

so

x-8y=19

x-y=642..subtract

-7y=-623

y=89

x-y=642..as said

x=642-89=535

hope it helps thanks

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.