This is the basic and conceptual question from linear equations in two variables in which we are to find the number if a two-digit number is 3 more than 4 times the sum of the digits. If 18 is added to the number, the digits are reversed.
Kindly solve the above problem
RS Aggarwal, Class 10, chapter 13E, question no 14
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