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