document.write( "Question 613271: When the digits of a two-digit number are reversed, the result is another two-digit number that is 62.5% smaller than the original number. What is the original number ? \n" ); document.write( "

Algebra.Com's Answer #385924 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "Let x and y represnt the ten and unit digits of the original number.
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document.write( "Note: .625 = 5/8
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document.write( "When the digits of a two-digit number are reversed, the result is 
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document.write( "another two-digit number that is 62.5% smaller than the original number
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document.write( "62.5% smaller or 3/8 of original number
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document.write( " 10y + x = (3/8)(10x+y)
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document.write( "  80y + 8x = 30x + 3y
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document.write( "     77y = 22x
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document.write( "       7/2 = x/y
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document.write( "Original number is \r
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document.write( " 27 = 3/8(72)
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