document.write( "Question 511004: hi i need help with this kind of word problem because i dont understand it i would really appreciate it if you can also show the work so i can understand it more thank you\r
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document.write( "kristine, jake, and lexi are cousins. jake is 2 years older than kristine and lexi is 8 years younger than jake. the sum of their ages is 35. find lexi's age.\r
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document.write( "thanks again! \n" );
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Algebra.Com's Answer #342113 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! kristine, jake, and lexi are cousins. \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "jake is 2 years older than kristine \n" ); document.write( "j = k + 2 \n" ); document.write( "we want to get k in terms of j, like the next equation, \n" ); document.write( "subtract 2 from both sides and we can write it \n" ); document.write( "k = j - 2 \n" ); document.write( ": \n" ); document.write( "lexi is 8 years younger than jake. \n" ); document.write( "l = j - 8 \n" ); document.write( ": \n" ); document.write( "the sum of their ages is 35. \n" ); document.write( "k + j + l = 35 \n" ); document.write( "Replace k with (j-2) and l with (j-8) \n" ); document.write( "(j-2) + j + (j-8) = 35 \n" ); document.write( "combine like terms \n" ); document.write( "3j - 10 = 35 \n" ); document.write( "3j = 35 + 10 \n" ); document.write( "3j = 45 \n" ); document.write( "j = \n" ); document.write( "j = 15 yr is Jake's age \n" ); document.write( ": \n" ); document.write( "Find L's age \n" ); document.write( "l = 15 - 8 \n" ); document.write( "l = 7 yrs is Lexi's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You should check this by finding k's age and see that the sum of all three ages add up 35\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |