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 .
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Step-by-step explanation:
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
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