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  • The sum of a two digit number and the number formed by interchanging its digits is 121. If 2 is subtracted from the first number, the new number is 3 more than 3 times the sum of the digits in the first number. Find the first number

The sum of a two digit number and the number formed by interchanging its digits is 121. If 2 is subtracted from the first number, the new number is 3 more than 3 times the sum of the digits in the first number. Find the first number

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let;thltwo;digit;number;is;xy\*sum;of;digits=10x+y\*when;digits;are;interchanged=10y+x\*Rightarrow 11x+11y=121Rightarrow x+y=11\* Given;that,\* 10x+y-2=3(y+x)+3\*Rightarrow 7x-2y=5\*Now;we;have; two;equations,;on;solving;them;we;will;get,\* x=3;and;y=8\*So,;the;first;number;is;38

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Deependra Verma

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