document.write( "Question 808986: the sum of two numbers is 63. the first number is 2/5 of the second number. what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #487327 by DrBeeee(684) $\"\"$ $\"About$

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Let a = the first number
\n" ); document.write( "Let b = the second number
\n" ); document.write( "From the problem statement we have
\n" ); document.write( "(1) a = 2/5b and
\n" ); document.write( "(2) a + b = 63
\n" ); document.write( "Put a of (1) into (2) and get
\n" ); document.write( "(3) 2/5b + b = 63 or
\n" ); document.write( "(4) 7/5b = 63 or
\n" ); document.write( "(5) b = (5/7)*63 or
\n" ); document.write( "(6) b = 5*9 or
\n" ); document.write( "(7) b = 45
\n" ); document.write( "Then from (2) we get
\n" ); document.write( "(8) a + 45 = 63 or
\n" ); document.write( "(9) a = 63 - 45 or
\n" ); document.write( "(10) a = 18
\n" ); document.write( "Check this with (1).
\n" ); document.write( "Is (18 = (2/5)*45)?
\n" ); document.write( "Is (18 = 2*9)?
\n" ); document.write( "Is (18 = 18)? Yes
\n" ); document.write( "Answer: The two numbers are 18 and 45.
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