Question

A two digit number is 3 more than 4 times the sum of its digits. The number exceed the sum of the digits by 18 .Find the no.​

Answer 1

Step-by-step explanation:

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