document.write( "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?\r
\n" ); document.write( "\n" ); document.write( "What I've done:\r
\n" ); document.write( "\n" ); document.write( "Let x be a number.
\n" ); document.write( "X + 25 = 2x + 1
\n" ); document.write( "(subtract 1 from both sides)
\n" ); document.write( "x + 24 = 2x
\n" ); document.write( "(subtract x from both sides)
\n" ); document.write( "24 = x\r
\n" ); document.write( "\n" ); document.write( "The number is 24.\r
\n" ); document.write( "\n" ); document.write( "Is this correct?
\n" ); document.write( "

Algebra.Com's Answer #378113 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
Good work, but I interpret it slightly differently.
\n" ); document.write( "The number increased by 25 should be \"x%2B25\" as you wrote.
\n" ); document.write( "The sum of the number and 1 is \"x%2B1\", and doubling that sum would be multiplying it times 2 as in
\n" ); document.write( "\"2%28x%2B1%29\"
\n" ); document.write( "Those brackets are necessary if we are doubling the sum.
\n" ); document.write( "\"2x%2B1\" is doubling the number and then adding 1, and it's not the same.
\n" ); document.write( "The way I read it, you get
\n" ); document.write( "\"x%2B25=2%28x%2B1%29\"
\n" ); document.write( "To solve it, my first step would be to calculate that doubling of the sum (distributive property) to get
\n" ); document.write( "\"x%2B25=2x%2B2\"
\n" ); document.write( "The rest is like you did.
\n" ); document.write( "I would subtract 2 from both sides to get
\n" ); document.write( "\"x%2B23=2x\", and subtracting x from both sides I get
\n" ); document.write( "\"highlight%28x=23%29\"
\n" ); document.write( "
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