# The sum of digits of a two-digit number is 12. If the digits are reversed, the resulting number is 15 more than twice the original number. What is the original number ?

2
by mie25

2015-02-26T15:17:01+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
I think the original number is 6. 6 + 6 is 12 .. Thanks!
2015-02-27T09:12:10+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Okay:::::::::::::::
let x = the tens digit
let y = the unit digit
and x+y=12
now check this out!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
diba 10x+y=the original number
for example:the no. is 22          {{{{10x+y}}}}============10(2)+2=22
kuha na?another example:the no. is 45 {{{{10x+y}}}}=======10(4)+5=45

ngayon may sinabi diyan na ##digits are reversed##
pag-sinabing reversed ganito yan =====ang oder ng number ay binaliktad,meaning ang unit sa orig. naging tens sa pangalawang no. at ang tens naman sa orig. naging unit sa pangalawang no.

THEREFORE::::::
the second number is 10y+x example: 45 sa orig. magiging 54 sa second no.

at ngayon:::ayon sa problem
10y+x=2(10x+y) + 15 batay sa #reversed digit is 15 more than twice the original number#
at alam natin na x+Y=12@@@@@@@@@@@@@@x=12-y or y=12-x

e subtitute natin ang y=12-x sa equation na 10y+x=2(10x+y)+15 or 10y+x=20x+2y + 15.......................................................
10(12-x)+x=20x+2(12-x)+15........simplify natin 120-10x+x=20x+24-2x+15 at e hiwalay ang variables sa number.......................27x=81  therfore x=3
.....x+y=12.....kaya 3+y=12...y=9

x=3
y=9
THEREFORE THE ORIGINAL NUMBER IS ###39###

LETS CHECK:
x+y=12.......3+9=12
10y+x=20x+2y+15
10(9)+(3)=20(3)+2(9)+15
93=93 check
orig. no. #39#
reversed no. #93#