Question

a two digit number is 6 more than 3 times its unit digits.find the number if the sum of its digits is 9

Answer 1

Explanation:

We can start as expressing the number as 10x+y, where x is the 10's digit and y is the 1's digit. From here, you can set up the following equations:

10x+y=3y+6

x+y=9

You can subtract x from both sides of the second equation, and substitute the y value into the upper equation like so:

10x+(9-x)=3(9-x)+6

10x+9-x=27-3x+6

Combining like terms:

12x=24

x=2

y=7

The number is 27.

Hope this helps!