SOLUTION: A two digit number is equal to 3 times the sum of the digits. What is the number ?

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Question 550056: A two digit number is equal to 3 times the sum of the digits. What is the number ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = tens digit
Let b = units digit
The value of the number is
+10a+%2B+b+
given:
+10a+%2B+b+=+3%2A%28+a+%2B+b+%29+
+10a+%2B+b+=+3a+%2B+3b+
+7a+=+2b+
The only way this can be true
and a and b are both
single digit whole numbers is
+a+=+2+
+b+=+7+
The number is 27
check answer:
+10a+%2B+b+=+3%2A%28+a+%2B+b+%29+
+10%2A2+%2B+7+=+3%2A%28+2+%2B+7+%29+
+20+%2B+7+=+3%2A9+
+27+=+27+
OK