Question 267268
"The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?" The answer is 34.
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Let the number be 10t+u
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Equations:
t + u = 7
10u + t - (10t+u) = 9
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Rearrange the 2nd equation:
9u - 9t = 9
9u + 9t = 63
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18u = 72
u = 4
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Since t + u = 7, t = 3
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Ans: The number is 34
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Cheers,
Stan H.