document.write( "Question 684180: Hello tutor, can you help me on this problem? Thank you!\r
\n" ); document.write( "\n" ); document.write( "Tom is now 25 years older than his son. In 10 years, Tom will be 5 years younger than 3 times his son's age. How old is Tom now?\r
\n" ); document.write( "\n" ); document.write( "Let Tom be N years old now.\r
\n" ); document.write( "\n" ); document.write( "Thank you again! :)
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Algebra.Com's Answer #423965 by lmeeks54(111)\"\" \"About 
You can put this solution on YOUR website!
Let T = age of Tom now
\n" ); document.write( "Let S = age of Tom's son now
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\n" ); document.write( "Given:
\n" ); document.write( "T = S + 25 (Tom is 25 yrs older than his son is now)
\n" ); document.write( "T + 10 = 3S - 5 (in 10 yrs, Tom will be 5 yrs younger than 3x his son's age)
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\n" ); document.write( "Method: with 2 equations and 2 variables, express one of the variables in terms of the other and solve:
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\n" ); document.write( "Take the equation with T = S + 25 and plug S + 25 into the 2nd equation for T:
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\n" ); document.write( "(S + 25) + 10 = 3S - 5
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\n" ); document.write( "Put all the S terms on one side and group all like-terms on the other:
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\n" ); document.write( "S + 35 = 3S - 5
\n" ); document.write( "40 = 2S
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\n" ); document.write( "divide both sides by 2:
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\n" ); document.write( "20 = S
\n" ); document.write( "T = S + 25
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\n" ); document.write( "Answer:
\n" ); document.write( "T = 45
\n" ); document.write( "S = 20
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\n" ); document.write( "Lee
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