Question

A two digit number is 3 more than 4 times the sum of its digits. If 18 is added to this
number, the sum is equal to the number obtained by interchanging the digits. Find the
number.
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Answer 1

Answer:

Let the tens and unit digit of number are x,y

First condition :

⇒10x+y=3+4(x+y)

⇒6x−3y=3

⇒2x−y=1

Second condition :

⇒10x+y+18=10y+x

⇒x−y=−2

Subtract resultant equations ;

⇒x=3

⇒y=5

∴two digit number =35