document.write( "Question 573418: The sum of my age and my daughter's is 50 years. In 30 years, 3 times my age increased by my daughter's age will be equal to 242 years. How old are we today? \n" ); document.write( "

Algebra.Com's Answer #368762 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+f+\"$ = Father's age now
\n" ); document.write( "Let $\"+d+\"$ = Daughter's age now
\n" ); document.write( " $\"+f+%2B+30+\"$ = father's age 30 yrs from now
\n" ); document.write( " $\"+d+%2B+30+\"$ = Daughter's age 30 yrs from now
\n" ); document.write( "----------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+f+%2B+d+=+50+\"$
\n" ); document.write( "(2) $\"+3%2A%28+f+%2B+30+%29+%2B+d+%2B+30+=+242+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+d+=+50+-+f+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3%2A%28+f+%2B+30+%29+%2B+50+-+f+%2B+30+=+242+\"$
\n" ); document.write( "(2) $\"+3f+%2B+90+-+f+%2B+80+=+242+\"$
\n" ); document.write( "(2) $\"+2f+=+242+-+170+\"$
\n" ); document.write( "(2) $\"+2f+=+72+\"$
\n" ); document.write( "(2) $\"+f+=+36+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+d+=+50+-+f+\"$
\n" ); document.write( "(1) $\"+d+=+50+-+36+\"$
\n" ); document.write( "(1) $\"+d+=+14+\"$
\n" ); document.write( "I am 36 and my Daughter is 14
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+3%2A%28+f+%2B+30+%29+%2B+d+%2B+30+=+242+\"$
\n" ); document.write( "(2) $\"+3%2A%28+36+%2B+30+%29+%2B+14+%2B+30+=+242+\"$
\n" ); document.write( "(2) $\"+3%2A66+%2B+44+=+242+\"$
\n" ); document.write( "(2) $\"+198+%2B+44+=+242+\"$
\n" ); document.write( "(2) $\"+242+=+242+\"$
\n" ); document.write( "OK \n" ); document.write( "

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