The sum of three numbers is 25. The second number is twice the first and third exceeds second by 5. Find the number
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Your second number is twice the first, so it is 2x.
Your third number exceeds the second number by 5, so it is 2x + 5.
When you add these three numbers up, the sum is 25:
x + 2x + (2x + 5) = 25
Combine "like" terms:
5x + 5 = 25
Now, isolate (or solve for) x. First, subtract 5 from both sides of the equation:
5x + 5 - 5 = 25 - 5
5x = 20
Then, divide both sides of the equation by 5:
5x/5 = 20/5
x = 4
So our first number is 4.
The second number is twice this, or 8.
The third number exceeds 8 by 5. Since 8 + 5 = 13, 13 is our third number.
Finally,
4 + 8 + 13 = 25
I hope this was helpful! :)
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