document.write( "Question 263644: one number is twice another number. If the larger is diminished by ten the result is two more than the smaller. Find the number. \n" ); document.write( "

Algebra.Com's Answer #194288 by oberobic(2304) $\"\"$ $\"About$

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x is one number.
\n" ); document.write( "y is another.
\n" ); document.write( "We are told: y = 2x.
\n" ); document.write( "And we are told: y-10 = x+2
\n" ); document.write( ".
\n" ); document.write( "So, we have two definitions of y:
\n" ); document.write( "y = 2x
\n" ); document.write( "and
\n" ); document.write( "y-10 = x+2
\n" ); document.write( "y = x+12
\n" ); document.write( "Since the identity y=y is obvious, then we can say
\n" ); document.write( "2x = x+12
\n" ); document.write( ".
\n" ); document.write( "Subtracting x from both sides
\n" ); document.write( "x = 12
\n" ); document.write( ".
\n" ); document.write( "In our set up we defined: y = 2x, so y = 2*12 = 24
\n" ); document.write( ".
\n" ); document.write( "We can check by substituting these values into the other equation we defined:
\n" ); document.write( "y-10 = 14
\n" ); document.write( "Does this = 12+2?
\n" ); document.write( "Yes it does.
\n" ); document.write( ".
\n" ); document.write( "So, the two values are: 12 and 24. \n" ); document.write( "

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