Question 742356
let the two numbers be: a & b
:
 the difference between two numbers is 642.
a - b = 642
or
a = b + 642
:
when the greater is divided by the smaller the quotient is 8 and the remainder is 19.
{{{((a-19))/b}}} = 8
multiply both sides by b
a - 19 = 8b
replace a with (b+642)
b + 642 - 19 = 8b
b + 623 = 8b
623 = 8b - b
7b = 623
b = {{{623/7}}}
b = 89
you can find a.