SOLUTION: The tens digit of a two-digit number is 3 more than the units digit. The number is 8 more than six times the sum of the digits. Find the number.

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Question 129981: The tens digit of a two-digit number is 3 more than the units digit. The number is 8 more than six times the sum of the digits. Find the number.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the 10's digit a
Call the unit's digit b
a+=+b+%2B+3
b+=+a+-+3
The number is 10a+%2B+b
10a+%2B+b+=+6%28a+%2B+b%29+%2B+8
10a+%2B+a+-+3+=+6%28a+%2B+a+-+3%29+%2B+8
11a+-+3+=+12a+-+18+%2B+8
a+=+18+-+8+-+3
a+=+7
b+=+a+-+3
b+=+7+-+3
b+=+4
The number is 74
check answer:
10a+%2B+b+=+6%28a+%2B+b%29+%2B+8
10%2A7+%2B+4+=+6%287+%2B+4%29+%2B+8
74+=+66+%2B+8
74+=+74
OK