Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
Answer:
Step-by-step explanation: i know i take this
Answer:
750 books
Step-by-step explanation:
Let there be "x" number of books in the 3rd room
Now,
2nd room has 3 times as 3rd room, so we can write:
Second Room = 3x
Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:
First Room = 3x + 1960
In total there are 7210 books in all three rooms, thus we can write:
First Room + Second Room + Third Room = 7210
Now, replacing the first 2 equations in this, we get:
3x + 1960 + 3x + x = 7210
Solving for x:

"x" is indeed what we are looking for. Thus,
There are 750 books in the third room