SOLUTION: A certain two-digit number is 2 less than three times the sum of its digit. If 54 is added to the number, the number would be reversed. Find the number.
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Question 1087040: A certain two-digit number is 2 less than three times the sum of its digit. If 54 is added to the number, the number would be reversed. Find the number.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the units digit
Let = the tens digit
----------------------------
(1)
(2)
--------------------------------
(1)
(1)
and
(2)
(2)
-----------------------------
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
--------------------------
and
(2)
(2)
(2)
(2)
--------------------
The number is 28
--------------------
check:
3 times the sum of it's digits:
OK
Add 54 to the number:
The number is reversed
OK
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