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  • Which 2 digit number has its second digit smaller than its first digit and if the sum of both the digits of that number is divided by that number the quotient will be 7?

Which 2 digit number has its second digit smaller than its first digit and if the sum of both the digits of that number is divided by that number the quotient will be 7?

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Let;the;first;digit=x\* herefore second;digit=x-4\*The;number=10x+x-4 =11x-4\*Digit;sum=x+x-4=2x-4\* Then;according;to;the;question, ;we; have;If;the;number;were;divided;by\*the;sum; of;digit,;quotient;would;be;7\* Rightarrow frac2x-411x-4=7\* Rightarrow 11x-4=14x-28\* Rightarrow -3x=-24\* Rightarrow x=8\* Then,;second;number;is;x-4=8-4=4\*So,;the;number;is;84

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Deependra Verma

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