Math Snap

STEP 1

Assumptions1. The unit's digit in the two-digit number is greater than the ten's digit by1.
. The number equals four times the sum of its digits.

STEP 2

Let's denote the ten's digit as $x$ and the unit's digit as $y$. According to the problem, we have the following two equations1. $y = x +1$
2. $10x + y =4(x + y)$

STEP 3

Substitute $y = x +1$ into the second equation, we get$$10x + x +1 =(x + x +1)$$

STEP 4

implify the equation$$11x +1 =8x +4$$

STEP 5

Subtract $8x$ from both sides of the equation$$3x +1 =4$$

STEP 6

Subtract1 from both sides of the equation$$3x =3$$

STEP 7

Divide both sides of the equation by3$$x =1$$

STEP 8

Substitute $x =1$ into the first equation $y = x +1$$$y =1 +1 =2$$

So the two-digit number is $x + y =* +2 =12$.
So the number is12. The correct answer is (c)12.