SOLUTION: In A Positive Number Of Two Digits, The Sum Of The Digits Is 15. If The Digits Are Interchanged, The Number Is Increased By 9. Find The Number.

Question 1148319: In A Positive Number Of Two Digits, The Sum Of The Digits Is 15. If The Digits Are Interchanged, The Number Is Increased By 9. Find The Number.
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39614)   (Show Source): You can put this solution on YOUR website!
Number

Now simpler system is .

Number: 78
Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!

In A Positive Number Of Two Digits, The Sum Of The Digits Is 15. If The Digits Are Interchanged, The Number Is Increased By 9. Find The Number.

Only 2 DIGITS sum to 15. They are: 8 & 7, and 6 & 9.
Now, which of these 2 digits, when interchanged, DIFFER by 9? I do believe that you can see this, and therefore able o solve this "mystery!"
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Swapping the digits of a 2 digit number changes the number by 9 times the difference between the digits.

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