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A two-digit number is 1 more than nine times the sum of its digits. Which number is it?


The answer is 91.

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2 solutions

Muhammad Sofyan
Oct 4, 2014

Suppose the numb is ab Then ab=10a+b The term is ab=9(a+b)+1 10a+b=9a+9b+1 a-8b=1 Only one solution a=9 & b=1 because a,b=0,1,...,9 So the numb is 91

Ravi Malik
Oct 4, 2014

Use hit & try method for all multiple sets like 18+1 ,27+1,36+1..............,90+1 Ant try to satisfy the equation xy-1=9(x+y) 91 will satisfy the equation.

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