document.write( "Question 732880: The sum of a boy and his father's age is 63 years. The difference between their ages is 33 years....Translate the two statements and solve for each variable. \n" ); document.write( "

Algebra.Com's Answer #448091 by vidhyak(98) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let boy's age be b
\n" ); document.write( "Let father's age be f\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sum of a boy and his father's age is 63 years
\n" ); document.write( "f + b = 63 -----------------------eq. 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The difference between their ages is 33 years
\n" ); document.write( "f - b = 33 -----------------------eq. 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solving the 2 equations(Add the 2 equations)
\n" ); document.write( "f + b = 63
\n" ); document.write( "f - b = 33\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2f = 96
\n" ); document.write( "f = 96/2 = 48\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Father's age is 48
\n" ); document.write( "Substitute f = 48 in eq 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f + b = 63
\n" ); document.write( "48 + b = 63
\n" ); document.write( "b = 63 - 48
\n" ); document.write( "b = 15\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Boy's age is 15
\n" ); document.write( "Father's age is 48
\n" ); document.write( " \n" ); document.write( "

\n" );