Posted by joy on Thursday, July 29, 2010 at 10:42am.
The sum of the digits of a twodigit number is 16. If the digits are reversed the new number will be 18 greater than the original number. Find the number.

math  Ms. Sue, Thursday, July 29, 2010 at 11:31am
By trial and error, I found that three numbers meet the first criteria: 88, 79, 97.
Which of those numbers meets the second criteria?

math  joy, Thursday, July 29, 2010 at 7:21pm
79

math  tchrwill, Friday, July 30, 2010 at 5:16pm
Let A = the first digit and B + the second digit.
Then A + B = 16 and 10B + A = 10A + B + 18 or B  A = 2
Adding A + B = 16 and B  A = 2 yields B = 9 and A = 7 making the initial number 79.
Therefore, A + B = 16 and 97  79 = 17.

math  tchrwill, Saturday, July 31, 2010 at 3:12pm
Sorry for the mental error. The hand was slower than the eye.
Let A = the first digit and B + the second digit.
Then A + B = 16 and 10B + A = 10A + B + 18 or B  A = 2
Adding A + B = 16 and B  A = 2 yields B = 9 and A = 7 making the initial number 79.
Therefore, A + B = 16 and 97  79 = 18

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