document.write( "Question 1203878: The sun of the ages of Landon,Violet, and their mother hann is 104 years. Landon is 3 years older than Violet, and Hannah's age is 1 more than twice Violet's age. How old is Hannah? \n" ); document.write( "
Algebra.Com's Answer #839768 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "You are making a lot of extra work for yourself setting up the problem using three variables, as the other tutor did.

\n" ); document.write( "The statement of the problem makes it easy to set it up using a single variable, making the path to the solution much easier.

\n" ); document.write( "Let x = Violet's age
\n" ); document.write( "Then x+3 = Landon's age
\n" ); document.write( "And 2x+1 = Hannah's age

\n" ); document.write( "The sum of their ages is 104:

\n" ); document.write( "x+x+3+2x+1 = 104
\n" ); document.write( "4x+4 = 104
\n" ); document.write( "4x = 100
\n" ); document.write( "x = 25

\n" ); document.write( "ANSWER: Hannah's age is 2x+1 = 51

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