SOLUTION: you are given a two -digit positive integer. if reverse the digits of your number. The result is a number which is 20% larger than your number . what is your number ?

Question 320098: you are given a two -digit positive integer. if reverse the digits of your number. The result is a number which is 20% larger than your number . what is your number ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
given a two -digit positive integer. if reverse the digits of your number. The result is a number which is 20% larger than your number . what is your number ?
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Let the number be 10t+u
The reverse is 10u+t
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Equation:
10u+t = 1.20(10t+u)
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10u + t = 12t + 1.2u
11t = 8.8u
t/u = 8.8/11
t/u = 0.8
t = 0.8u
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To get a whole digit, u must be 5
Then t = 0.8*5 = 4
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Number = 10t+u = 45
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Cheers,
Stan H.
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