SOLUTION: The sum of the digits of a two digit number is 10 .If 18 is subtracted from it the digits in the resulting number will be equal. Find the required number.

Question 981507: The sum of the digits of a two digit number is 10 .If 18 is subtracted from it the digits in the resulting number will be equal. Find the required number.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
The result of the two digits being equal means this is a multiple of 11;
so use an extra variable, n, for either of these resulting digits.
Your multiple of 11 is some 11*n, and n must be a digit.

Your unknown number, ;
t for your tens, u for your ones.

Your transcribed information will then be

.

substitute.

Pick to test values of whole number n from 1 to 9 to find which will give
a whole number result for t.

n__________________resulting t
1___________________1
2___________________x
3___________________x
4___________________x
5___________________x
6___________________x
7___________________x
8___________________x
9___________________x

Only n=1 gives a whole value for .
With that t, what is u?

Your unknown number is then

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

The sum of the digits of a two digit number is 10 .If 18 is subtracted from it the digits in the resulting number will be equal. Find the required number.

Number you're looking for:
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