# number problem

• Dec 23rd 2007, 07:26 PM
ik_km
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?
• Dec 23rd 2007, 07:42 PM
Jhevon
Quote:

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 \$\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 PM
ik_km
thnx
thnx jhevon