# Math Help - number problem

1. ## number problem

the tens digits of a two-digit number in two more than the one digit . The number is thirty more than four times the sum of the digits. what is the number?

2. Originally Posted by ik_km
the tens digits of a two-digit number in two more than the one digit . The number is thirty more than four times the sum of the digits. what is the number?
Let $a$ be the tens digit
Let $b$ be the ones digit

since the tens digit is two more than the ones digit, we have:

$a = b + 2$ ...................(1)

since the number is thirty more than four times the sum of the digits, we have:

$10a + b = 30 + 4(a + b)$ ...................(2)

thus you need to solve the system of simultaneous equations:

$a = b + 2$ ...............................(1)
$10a + b = 30 + 4(a + b)$ ...........(2)

thnx jhevon