What two digit number is three times the sum of its digits?

Mathematics · High School · Tue Nov 03 2020

Answered on

let the two digit number be xy

Then, according to question:

10x +y = 3(x+y)      
10x +y =3x+3y

Transposing y and 3x to other sides, we get


10x - 3x = 3y -y

7x = 2y

x/y = 2/7

So, x=2 and y=7

Thus, the number is 27.