document.write( "Question 838203: Ratio between two number is 2:3 and their sum is 420. The greater of two number is ? \n" ); document.write( "

Algebra.Com's Answer #504918 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"A\"$ and $\"B\"$ be the numbers.
\n" ); document.write( " $\"A%2FB=2%2F3\"$
\n" ); document.write( "1. $\"3A=2B\"$
\n" ); document.write( "and
\n" ); document.write( " $\"A%2BB=420\"$
\n" ); document.write( "Multiply eq. 2 by $\"3\"$ and substitute from eq. 1,
\n" ); document.write( " $\"3A%2B3B=1260\"$
\n" ); document.write( " $\"%282B%29%2B3B=1260\"$
\n" ); document.write( " $\"5B=1260\"$
\n" ); document.write( " $\"B=252\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"3A=2%28252%29\"$
\n" ); document.write( " $\"A=504%2F3\"$
\n" ); document.write( " $\"A=168\"$
\n" ); document.write( " \n" ); document.write( "

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