The sum of the digits of a two digit number is 8.If 18 is added to the value of the number,
its digits get reversed. Find the number detail q stion
.
Share
The sum of the digits of a two digit number is 8.If 18 is added to the value of the number,
its digits get reversed. Find the number detail q stion
.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
If 18 is added to the number, the digits change their places. Hence, the number is 35.
Step-by-step explanation:
Let the number be in the form of 10x+y, where x and y are the tens digit and the units digit respectively.
Applying the first condition:, we get
x+y=8 ....(1)
Applying the second condition, given in the problem
10x+y+18=10y+x
⇒9x−9y=−18
⇒x−y=−2 ....(2)
By solving equations (1) and (2), we get
x=3 and y=5
Therefore, the number is 35.