SOLUTION: Find all two-digit numbers that give a sum of 154 when the original number and the number obtained by reversing its digits are added.
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Question 404294: Find all two-digit numbers that give a sum of 154 when the original number and the number obtained by reversing its digits are added.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all two-digit numbers that give a sum of 154 when the original number and the number obtained by reversing its digits are added.
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Let the original number be 10t+u
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Reverse number is 10u+t
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Equation:
10t+u + 10u+t = 154
11t + 11u = 154
t + u = 14
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Both t and u must be single digit numbers
Pairs that work are 5/9,6/8,7/7
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Original numbers are 59 or 68 or 77
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Cheers,
Stan H.
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