Question

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 number

Answer 1

let the no. be x

the greater no.be x+642

given: x*8+19=x+642

∴8x+19=x+642

7x=623

∴x=89

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.