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 $\displaystyle a$ be the tens digit
Let $\displaystyle b$ be the ones digit
since the tens digit is two more than the ones digit, we have:
$\displaystyle a = b + 2$ ...................(1)
since the number is thirty more than four times the sum of the digits, we have:
$\displaystyle 10a + b = 30 + 4(a + b)$ ...................(2)
thus you need to solve the system of simultaneous equations:
$\displaystyle a = b + 2$ ...............................(1)
$\displaystyle 10a + b = 30 + 4(a + b)$ ...........(2)