SOLUTION: Plz answer it's for my holidays homework.
The sum of the digits of a two digit number is 15. If 9 is added to the number the digits are interchange. Find the numbers.
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Question 1084820: Plz answer it's for my holidays homework.
The sum of the digits of a two digit number is 15. If 9 is added to the number the digits are interchange. Find the numbers.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two digit number is 15. If 9 is added to the number the digits are interchange.
Suppose the digits are and , so the number is
if the sum of the digits of a two digit number is , we have
....solve for
..........eq.1
If is added to the number the digits are interchange:
....solve for
.........eq.2
from eq.1 and eq2 we have
-> ->
so the number is
check: If is added to the number the digits are interchange:
so, the digits are interchange
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