SOLUTION: The units digit of a two-digit number is 3 less than its tens digit. If the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8. Find the number.

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Let = the units digit
Let = the tens digit


The sum of the digits is
The actual number is

If the way I wrote the remainder bothers you, think about
It's really the same thing
continuing,
Multiply each side by


(1)
And, from above,

Multiply times
(2)
Subtract (1) from (2)




The number is 74
check:
The units digit is 3 less than the tens digit OK
The number divided by the sum of it's digts is
OK