SOLUTION: the sum of the digits of a two digit number is 10.if 18 is added to the number.the digits will be reversed.find the number.check your answer

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Question 396940: the sum of the digits of a two digit number is 10.if 18 is added to the number.the digits will be reversed.find the number.check your answer
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the 10s digit. Let represent the 1s digit. The actual number would then be . Reversing the digits gives .

We are given that



And



From which we get



and then



Now we have:



and



Just solve the system for and .

John

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