Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The sum of a two-digit number and the number formed by interchanging the digits is 132. If 12 is added to the number, the new number becomes 5 times the

sum of digits. Find the number.


Sum of digits of two-digit number=132
let the no. be x
x =72/5

0 0 0
Let the number be 10y+x    i.e the digit at ten's place is y and that in one's place is x
given 10y+x + 10x+y=132 ---------1
also given 10y+x + 12=5(x+y) which gives 10y+x=5(x+y)-12 ---------2
sub. 2 in 1
solving the above equation for x, you will get  x=(48-2y)/5 ------3
sub. 3 in 1
10y+ (48-2y)/5 + 10(48-2y)/5 +y=132
solving the above equation for y, you will get  33y=132 which gives y=4 --------4
sub. 4 in 3 
you will get x=8
so the number is 10y+x= 10(4)+8=48
there you go ^_^
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts