SOLUTION: a two digit number is such that twice the tens digit added to eleven times the units digit is equal to the number itself. find the number.
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Question 961329: a two digit number is such that twice the tens digit added to eleven times the units digit is equal to the number itself. find the number.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= the tens digit.
= the units digit.
For each digit/variable, there are only 10 choices (0, or 1, or 2, or ..., or 8, or 9).
= the value of the number (the number itself),
just like the value of is , and
just like the value of is .
=twice the tens digit
= eleven times the units digit
= twice the tens digit added to eleven times the units digit
"Twice the tens digit added to eleven times the units digit is equal to the number itself" means that
.
Solving:
--->--->--->--->--->--->
is obviously a multiple of ,
so must be a multiple of too.
That means that must be a multiple of ,
and being a digit (from 0 to 9), the only choice is
.
Then, ---> ,
and means that --->---> .
So the number is , of course.
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