SOLUTION: A number of two digits exceeds five times the sum of it a digits by 9 and its ten digit exceeds its unit digit by 1 find the number

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Question 1127339: A number of two digits exceeds five times the sum of it a digits by 9 and its ten digit exceeds its unit digit by 1 find the number
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the 10s digit and represent the 1s digit.

The number is then

The sum of the digits is

And the digits differ by 1, so

That makes the sum of the digits

And the number itself

Since the number is 9 more than five times the sum of the digits:



Solve for to get the 10s digit and then calculate to get the 1s digit.


John

My calculator said it, I believe it, that settles it