SOLUTION: 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.

Question 742356: 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 by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
= 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 =
b = 89
you can find a.
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