The number 260 is seperated into two parts so that the first part is eight more than three times the second part. What are the two numbers?

Question

FIRST PART:

SECOND PART:

Answer 1

x + y = 260

x = 3y + 8

3y + 8 + y = 260 or 4y = 252

y = 63

x = 3(63) + 8 or 197

Solution set is written as (x,y) = (197,63).

Answer 2

Hi Lucy,

I guess you mean that 260 is separated into two numbers so that the first number is 8 more than three times the second number.

Let's let x represent the second number .

Let's let y represent the first number. We know that the first number is 8 more than 3 times the second number .

Therefore y = 3x + 8

We also know from the question above that y + x = 260 . (The two numbers add to 260!)

Now substituting y = 3x + 8 into our equation above gives us

3x + 8 + x = 260

4x + 8 = 260

4x = 252 => x = 63

So the second number x = 63

The first number y = 3x + 8 = 3 × 63 + 8 = 197

Lets check our work now !

63 + 197 = 260 So our two numbers add up to 260!

So we have showed that are first number y = 197 and our second number x = 63.

I hope that was helpful.