A number consists of two digits. If the number formed by reversing its digits is dded to it, the sum is 143 and if the same number is subtracted from it, the remainder is 8. Find the number.
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Answer:
Your number is of the form 10a+b. Your resulting equations are:
10a+b+10b+a = 121, or 11(a+b)=121. Thus a+b=11
10a+b-(10b+a) = 17, or 9(a-b) = 17. Thus a-b = 17/9.
As 17/9 is not an integer, there is no solution
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