# Math Help - digit integer problem

1. ## digit integer problem

What two-digit integer is six times the sum of its digits?

2. Originally Posted by sri340
What two-digit integer is six times the sum of its digits?
Solve this by setting up the equation:

$10a + b = 6(a+b)$

where a and b are the number's two digits.

There's only a limited number of integral solutions, and you'll (probably) find that only one of those has both a and b in single digits.

Give it a play, see what happens.

3. Originally Posted by sri340
What two-digit integer is six times the sum of its digits?
If xy is the two digit number and x+y is the sum of the digits:

10x+y = (x+y)6
10x + y = 6x +6y
4x = 5y

Only two numbers satisify that