document.write( "Question 1170627: John is five times as old as nick. In 15 years time,john will be three times as old as nick. How old is john?
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Algebra.Com's Answer #795485 by akumpo(8)![]() ![]() You can put this solution on YOUR website! Right now, John is 5 times older than Nick. Let n represent Nick's age and J for John's age. \n" ); document.write( "The equation would be 5n=j\r \n" ); document.write( "\n" ); document.write( "In 15 years, John will be 3 times older than Nick. This would then be: j+15=3(n+15)\r \n" ); document.write( "\n" ); document.write( "Using distributive property: j+15=3n+45 \n" ); document.write( "Subtract both sides by 15 to get j=3n+30\r \n" ); document.write( "\n" ); document.write( "j also equals 5n, therefore 3n+30=5n\r \n" ); document.write( "\n" ); document.write( "Subtract both sides by 3n to get 2n=30\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 2 to get n=15 \n" ); document.write( "Right now, Nick is 15 years old, multiply by 5 to get John's age, which is 75.\r \n" ); document.write( "\n" ); document.write( "CHECK: \n" ); document.write( "If Nick is 15 right now, John is 75. \n" ); document.write( "In 15 years, Nick will be 30 and John will be 90. \n" ); document.write( "30*3 is 90, so our answer is correct.\r \n" ); document.write( "\n" ); document.write( "John is 75 years old. \n" ); document.write( " |