SOLUTION: The tenth digit of 2 digit numberis 3 greater than the unit digit;when the digits are reversed,the number is reduced to 27. What is the number? Pleaseeee!!!

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Question 587836: The tenth digit of 2 digit numberis 3 greater than the unit digit;when the digits are reversed,the number is reduced to 27. What is the number? Pleaseeee!!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the units digit = b
Let the tens digit = a
given:
(1) +a+=+b+%2B+3+
(2) +10b+%2B+a+=+10a+%2B+b+-+27+
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(2) +10b+-+b+=+10a+-+a+-+27+
(2) +9b+=+9a+-+27+
(2) +b+=+a+-+3+
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Substitute (1) into (2)
(2) +b+=+b+%2B+3+-+3+
(2) +b+=+b+
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This is telling me that any number
ab where +a+=+b+%2B+3+ solves the problem
So I'll try +a+=+6+, +b+=+9+
69 with digits reversed is 96 and +96+-+69+=+27+
I'll try +a+=+3+, +b+=+6+
36 with digits reversed is 63 +63+-+36+=+27+
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You can try other 2 digit numbers