Question

A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, it's digits are reversed. Find the number

Answer 1

Answer:

35

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

Answer:

$\red{\underbrace{\underline{\bigstar\:\bf Required\:Answer:}}}$

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

$\pink{\sf \underbrace{First \: condition :}}$

$\sf⇒10x+y=3+4(x+y)$

$\sf⇒6x−3y=3$

$\sf⇒2x−y=1$

$\green{ \sf\underbrace{Second \: condition :}}$

$\sf⇒10x+y+18=10y+x$

$\sf⇒x−y=−2$

$\frak\blue{Subtract \: resultant \: equations ;}$

$\sf⇒x=3$

$\sf⇒y=5$

$\sf \frak \orange{∴Two \: digit \: number } \purple{=35}$