Question

a two digit number is 3 more than 6 times the sum of its digit.if 18 is added to the number obtained by interchanging the digits we get the original number.find the number. Solve in notebook no spamming. D

DON’T COPY PASTE FROM INTERNET OR I WILL REPORT.

Answer 1

Answer:

75

Step-by-step explanation:

I don't have my notebook with me. So, I did it here. It's my own answer.

Anyways, hope this helps!

Let the number be 10x+y.  

Now,  

10x+y= 6 (x + y) +3 =   4x−5y=3              

If we interchange the digits we get 10y+x

Now,

10y+x+18

=10x+y

⇒9x−9y=18 =x−y=2                

Now multiplying equation by 4. we get,

4x−4y=8          

On subtracting

4x−5y−(4x−4y)=3−8

∴y=5

On substituting y=5...

x−5=2⇒x=7

∴ number is 10x+y=10(7)+5

=75