Question

A two digits number is 3 more than 4 times the sum of its digits, if 18 is subtracted from the number the digits are reversed, find the number.
Ans fast​

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

Answer 2

1. Let the tens and unit digit of number are x,y
2. First condition :
3. ⇒10x+y=3+4(x+y)
4. 6x−3y=3
5. 2x−y=1

Second condition :

1. ⇒10x+y+18=10y+x
2. x−y=−2

Subtract resultant equations ;

1. ⇒x=3
2. ⇒y=5

∴two digit number =35

I hope this may help you