Question

if we subtract 4 from the digit at the unit place of a two digit number and add 4 to the digit at the tens place then the resulting number is double.find the number​

Answer 1

Answer:

72

Step-by-step explanation:

Let the number at the unit place be y and the number at the tens place be x.

According to question,

if we subtract 4 from the digit at the unit place place and add 4 to the tens place, of the two digit number,

Them the number becomes,

$(y-4) + 10 \times (x+4)$

and the original number was;

$y + 10x$

According to question, it is being mentioned that;

resulting number = 2 \time original number

∴ $(y-4) + 10\times (x+4) = 2 (y + 10x)$

10$\times$ x + y +36 = 2 $\times$  y + 20x

10$\times$ x + y = 36

By above equation it is clearly understandable that, when we x=3 and y = 6 , we will get the desired result as 36.

So, the two digit number is 36.