SOLUTION: The ten's digit of two-digit number is 3 more than the units' digit. The number is 8 more than six times the sum of the digits. Find the number.

Question 401585: The ten's digit of two-digit number is 3 more than the units' digit. The number is 8 more than six times the sum of the digits. Find the number.
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Let the ten digit be and units digit
The number will be
The Ten's digit of a two-digit number is 3 more than the unit's digit.
.....(1)
The number is more than six times the sum of the digits:

substitute

( UNIT'S DIGIT IS 4)
Since Ten's digit is 3 more than the unit's digit, it
Number is

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the units digit
Call the tens digit
given:
(1)
(2)
----------------------------------
from (1), I get
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
And, from (1),

The number is 74
check answer:
(2)
(2)
(2)
OK

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