document.write( "Question 1145638: Sergio is 70 years younger than Elizabeth. 8 years ago, Elizabeth’s age was 3 times Sergio’s age. How old is Sergio now? \n" ); document.write( "

Algebra.Com's Answer #766867 by VFBundy(438) $\"\"$ $\"About$

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Sergio's age = x
\n" ); document.write( "Elizabeth's age = x + 70
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\n" ); document.write( "\"8 years ago, Elizabeth’s age was 3 times Sergio’s age.\"
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\n" ); document.write( "(x + 70) - 8 = 3(x - 8)
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\n" ); document.write( "x + 62 = 3x - 24
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\n" ); document.write( "86 = 2x
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\n" ); document.write( "x = 43
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\n" ); document.write( "Sergio's age = x = 43
\n" ); document.write( "Elizabeth's age = x + 70 = x + 43 = 113
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\n" ); document.write( "Check it:
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\n" ); document.write( "\"Sergio is 70 years younger than Elizabeth.\"
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\n" ); document.write( "Sergio = 43; Elizabeth = 113. 113 minus 43 = 70. [CHECKS]
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\n" ); document.write( "\"8 years ago, Elizabeth’s age was 3 times Sergio’s age.\"
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\n" ); document.write( "Sergio = 35; Elizabeth = 105. 35 times 3 = 105. [CHECKS] \n" ); document.write( "

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