document.write( "Question 1038468: The ratio of two number is 8:3. If 8 is added to the larger number and 7 is subtracted from the smaller number, the ratio of the numbers is 6:1. Find the smaller of the two original numbers.\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 15 but i don't know how did it arrive to that answer. Please help me. Thank you. \n" ); document.write( "

Algebra.Com's Answer #653194 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "The ratio of two number is 8:3. If 8 is added to the larger number and 7 is subtracted from the smaller number, the ratio of the numbers is 6:1. Find the smaller of the two original numbers.\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 15 but i don't know how did it arrive to that answer. Please help me. Thank you.
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Let multiplicative factor be x
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document.write( "Then larger and smaller numbers are: 8x and 3x, respectively
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document.write( "We then get: 
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document.write( "6(3x - 7) = 1(8x + 8) -------- Cross-multiplying
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document.write( "18x - 42 = 8x + 8
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document.write( "18x - 8x = 8 + 42
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document.write( "10x = 50
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document.write( "x, or multiplicative factor = 5\r
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