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?

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- Dec 23rd 2007, 07:26 PMik_kmnumber 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?

- Dec 23rd 2007, 07:42 PMJhevon
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) - Dec 23rd 2007, 07:58 PMik_kmthnx
thnx jhevon