Did I write down this equation correctly???

1. The sum of two numbers is 361, and the difference between the two numbers is 173. What are the two numbers?

I wrote down this equation: "361 = 34 + 4x"

*****I know that this should be easy for me, but I never really understood how to turn information from a sentence problem into an equation.

Thanks in advanced for the help!

-RedGlasses :D

RedGlasses
Jan 29, 2018

#1**+3 **

Let's call the two numbers a and b .

The sum of two numbers is 361.

a + b = 361

The difference between the two numbers is 173.

a - b = 173

Now we have two equations and two variables:

a + b = 361

a - b = 173 We can solve the system of equations like this...

361 + 173 = 361 + 173 Plug in a + b for 361 since they are equivalent,

and plug in a - b for 173 since they are equivalent.

(a + b) + (a - b) = 361 + 173

a + b + a - b = 534

2a = 534

a = 267

Now we can use this value of a to find b .

267 + b = 361

b = 94

So the two numbers are 267 and 94 .

hectictar
Jan 29, 2018

#1**+3 **

Best Answer

Let's call the two numbers a and b .

The sum of two numbers is 361.

a + b = 361

The difference between the two numbers is 173.

a - b = 173

Now we have two equations and two variables:

a + b = 361

a - b = 173 We can solve the system of equations like this...

361 + 173 = 361 + 173 Plug in a + b for 361 since they are equivalent,

and plug in a - b for 173 since they are equivalent.

(a + b) + (a - b) = 361 + 173

a + b + a - b = 534

2a = 534

a = 267

Now we can use this value of a to find b .

267 + b = 361

b = 94

So the two numbers are 267 and 94 .

hectictar
Jan 29, 2018

#2**+2 **

Thank you so very much, hectictar. I was really stuck on that problem. You're a life saver. :D

RedGlasses
Jan 29, 2018