Question

A number is a two digit number which is three times more than 4 times the sum of the digits. If 18 is added to the number, the digits gets opposite.

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

$\huge\bold{Question :-}$

A two digit number is 3 more than 4 times the sum of its digits.If 18 is added to the number its digit are reversed.

Find the number.

$\huge\bold{SOLUTION -}$

Let the required number be ab.

Sum of digits = a + b ( 1 )

10 a + b = 4 ( a + b )

10 a + b + 18 = 10 b + a

=> 9 a + 18 = 9 b

=> a + 2 = b

10 a + a + 2 = 4 ( a + a + 2 )

=> 11 a + 2 = 8 a + 8

=> 3 a = 6

=> a = 3

=> a + 2 = 5

=>ab = 35 [ A ]

So the number becomes 35.

$\huge\bold{ANSWER}$ :

$\bold{\boxed{The\: original \:number \:is \:35}}$.

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