document.write( "Question 1145211: A​ number, one fifth of that​ number, and one fourth of that number are added. The result is 58. What is the original​ number? \n" ); document.write( "
Algebra.Com's Answer #766420 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "The sum is a whole number, so 1/5 of the number and 1/4 of the number are almost certain to be both whole numbers.

\n" ); document.write( "That means the number is divisible by both 4 and 5; and that means it is divisible by 4*5=20.

\n" ); document.write( "Then since the sum is 58, the number is probably the largest multiple of 20 less than 58.

\n" ); document.write( "So try 40 as the number:
\n" ); document.write( "40+40/5+40/4 = 40+8+10 = 58
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