The sum of two numbers is 526, and their difference is 176. find the two numbers

Step-by-step explanation:

We can write the information as equations. We will use variables x and y to find the two numbers

Equation 1: The sum of two numbers is 526

x + y = 526

Equation 2: The difference is 176

x - y = 176

With two variables and two equations, we can first find one variable by elimination:

(See image)

and then substitute y into either equation to find x:

(See image)

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116