document.write( "Question 339115: If the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their age becomes 7:8? \n" ); document.write( "

Algebra.Com's Answer #243473 by Fombitz(32388) $\"\"$ $\"About$

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$\"A%2BB=33\"$
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\n" ); document.write( " $\"A%2FB=5%2F6\"$
\n" ); document.write( " $\"6A=5B\"$
\n" ); document.write( " $\"A=%285%2F6%29B\"$
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\n" ); document.write( "Substitute,
\n" ); document.write( " $\"%285%2F6%29B%2BB=33\"$
\n" ); document.write( " $\"%2811%2F6%29B=33\"$
\n" ); document.write( " $\"B=33%286%2F11%29\"$
\n" ); document.write( " $\"highlight_green%28B=18%29\"$
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\n" ); document.write( " $\"A%2BB=18\"$
\n" ); document.write( " $\"highlight_green%28A=15%29\"$
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\n" ); document.write( "In $\"x\"$ years,
\n" ); document.write( " $\"%28A%2Bx%29%2F%28B%2Bx%29=7%2F8\"$
\n" ); document.write( " $\"7%28B%2Bx%29=8%28A%2Bx%29\"$
\n" ); document.write( " $\"7B%2B7x=8A%2B8x\"$
\n" ); document.write( " $\"x=7B-8A\"$
\n" ); document.write( " $\"x=7%2818%29-8%2815%29\"$
\n" ); document.write( " $\"x=126-120\"$
\n" ); document.write( " $\"highlight%28x=6%29\"$ years
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\n" ); document.write( "In $\"x=6\"$ years,
\n" ); document.write( " $\"A=21\"$
\n" ); document.write( " $\"B=24\"$
\n" ); document.write( " $\"A%2FB=21%2F24=7%2F8\"$
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