document.write( "Question 981211: Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio b/w the new numbers so formed as 5:7. Find the original number? \n" ); document.write( "

Algebra.Com's Answer #602241 by josgarithmetic(39617) $\"\"$ $\"About$

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Numbers x and y.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"system%28x%2Fy=3%2F5%2C%28x%2B10%29%2F%28y%2B10%29=5%2F7%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"7%28x%2B10%29=5%28y%2B10%29\"$
\n" ); document.write( " $\"7x%2B70=5y%2B50\"$
\n" ); document.write( " $\"7x%2B5y=-20\"$
\n" ); document.write( "-
\n" ); document.write( " $\"5x=3y\"$
\n" ); document.write( " $\"y=5x%2F3\"$
\n" ); document.write( "-
\n" ); document.write( " $\"7x%2B5%285x%2F3%29=-20\"$
\n" ); document.write( " $\"21x%2B25x=-60\"$
\n" ); document.write( " $\"46x=-60\"$
\n" ); document.write( " $\"23x=-30\"$
\n" ); document.write( " $\"highlight%28x=-30%2F23%29\"$
\n" ); document.write( "-
\n" ); document.write( "Find y using the found x.
\n" ); document.write( " $\"y=5%28-30%2F23%29%2F3\"$
\n" ); document.write( " $\"y=-150%2F%2823%2A3%29\"$
\n" ); document.write( " $\"highlight%28y=-50%2F23%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( "The first ratio for x and y check perfectly.
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\n" ); document.write( "The plus-ten ratio,
\n" ); document.write( " $\"%28-30%2F23%2B10%29%2F%28-50%2F23%2B10%29\"$ -----------do the arithmetic. How is it? \n" ); document.write( "

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