Math Snap

STEP 1

Assumptions1. We have two numbers a smaller number and a bigger number. The bigger number is35 more than the smaller number3. The sum of the two numbers is143

STEP 2

Let's denote the smaller number as x. Then, the bigger number can be expressed as x +35, because it is35 more than the smaller number.

STEP 3

We know that the sum of the two numbers is143. So we can set up the following equation$$x + (x +35) =143$$

STEP 4

implify the equation by combining like terms.
$$2x +35 =143$$

STEP 5

Next, we need to isolate x. We can do this by subtracting35 from both sides of the equation.
$$2x =143 -35$$

STEP 6

Perform the subtraction operation on the right side of the equation.
$$2x =108$$

STEP 7

Finally, to find the value of x, divide both sides of the equation by2.
$$x =108 /2$$

Perform the division operation to find the value of x.
$$x =54$$So, the smaller number is54.