SOLUTION: When a number is increased by 25, the answer is the same as doubling the sum of the number and 1. What is the number? What I've done: Let x be a number. X + 25 = 2x + 1 (su

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: When a number is increased by 25, the answer is the same as doubling the sum of the number and 1. What is the number? What I've done: Let x be a number. X + 25 = 2x + 1 (su      Log On

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Question 597301: When a number is increased by 25, the answer is the same as doubling the sum of the number and 1. What is the number?
What I've done:
Let x be a number.
X + 25 = 2x + 1
(subtract 1 from both sides)
x + 24 = 2x
(subtract x from both sides)
24 = x
The number is 24.
Is this correct?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Good work, but I interpret it slightly differently.
The number increased by 25 should be x%2B25 as you wrote.
The sum of the number and 1 is x%2B1, and doubling that sum would be multiplying it times 2 as in
2%28x%2B1%29
Those brackets are necessary if we are doubling the sum.
2x%2B1 is doubling the number and then adding 1, and it's not the same.
The way I read it, you get
x%2B25=2%28x%2B1%29
To solve it, my first step would be to calculate that doubling of the sum (distributive property) to get
x%2B25=2x%2B2
The rest is like you did.
I would subtract 2 from both sides to get
x%2B23=2x, and subtracting x from both sides I get
highlight%28x=23%29