SOLUTION: The ones digit is one more than the tens digit. The sum of the number and twice the number with the digits reversed is 153. What is the number?

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Question 197725: The ones digit is one more than the tens digit. The sum of the number and twice the number with the digits reversed is 153. What is the number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a= the ones digit
Let b= the tens digit
a+=+b+%2B+1
The number is 10b+%2B+a
10b+%2B+a+%2B+2%2A%2810a+%2B+b%29+=+153
10b+%2B+a+%2B+20a+%2B+2b+=+153
21a+%2B+12b+=+153
Now substitute
21%2A%28b+%2B+1%29+%2B+12b+=+153
21b+%2B+21+%2B+12b+=+153
33b+=+132
b+=+4
and
a+=+b+%2B+1
a+=+4+%2B+1
a+=+5
The number is 45
check:
10b+%2B+a+%2B+2%2A%2810a+%2B+b%29+=+153
45+%2B+2%2A54+=+153
45+%2B+108+=+153
153+=+153
OK