SOLUTION: The difference between the two digits of a two-digit number is 2. If the digits swap places, the number is 18 less than the original number. What is the original number? Can you sh

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Question 1109570: The difference between the two digits of a two-digit number is 2. If the digits swap places, the number is 18 less than the original number. What is the original number? Can you show an algebraic solution?


Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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If the digits swap places, the number is 18 less than the original number.
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?
9 and 7 ?

97-79=18
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97-18=79

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If t for TENS and u for ONES,
original, 10t%2Bu
and
swapped, t%2B10u.
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t%2B10u%2B18=10t%2Bu, as a start, but after simplifying, you could pick whatever digits seem reasonable, differing by 2.

original number, 97
(just one example)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between the two digits of a two-digit number is 2. If the digits swap places, the number is 18 less than the original number. What is the original number?
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97
86
75
64
53
42
31
20