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):
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
You can put this solution on YOUR website! Call the units digit
Call the tens digit
given:
(1)
(2)
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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