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 numbers.
Answers
Answer:
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.
%28%28a-19%29%29%2Fb = 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%2F7
b = 89
you can find a.
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.