document.write( "Question 146088This question is from textbook Intermediate algebra
\n" ); document.write( ": Annilee's present age is two-thirds of jessie's present age. in 12 years the sum of their ages will be 54 years. Find their present ages. \n" ); document.write( "

Algebra.Com's Answer #106639 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let a = A's age, let j = J's age
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( "\"Annilee's present age is two-thirds of jessie's present age.
\n" ); document.write( "a = $\"2%2F3\"$ j
\n" ); document.write( ":
\n" ); document.write( "\" in 12 years the sum of their ages will be 54 years.\"
\n" ); document.write( "(a+12) + (j+12) = 54
\n" ); document.write( "a + j + 24 = 54
\n" ); document.write( "a + j = 54 - 24
\n" ); document.write( "a + j = 30
\n" ); document.write( ":
\n" ); document.write( "Find their present ages.
\n" ); document.write( ":
\n" ); document.write( "Substitute $\"2%2F3\"$ j for a in the above equation
\n" ); document.write( " $\"2%2F3\"$ j + j = 30
\n" ); document.write( " $\"5%2F3\"$ j = 30
\n" ); document.write( "multiply equation by 3
\n" ); document.write( "5j = 90
\n" ); document.write( "j = $\"90%2F5\"$
\n" ); document.write( "j = 18 yrs old now
\n" ); document.write( "and
\n" ); document.write( "a = $\"2%2F3\"$ 18
\n" ); document.write( "a = 12 yrs old now
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\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"in 12 years the sum of their ages will be 54 years.\"
\n" ); document.write( "(18+12) + (12+12) = 54 \n" ); document.write( "

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