document.write( "Question 981211: Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio b/w the new numbers so formed as 5:7. Find the original number? \n" ); document.write( "

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Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio b/w the new numbers so formed as 5:7. Find the original number?
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Let multiplicative factor be x
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document.write( "Then numbers are: 3x and 5x
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document.write( "We then get: 
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document.write( "7(3x + 10) = 5(5x + 10) -------- Cross-multiplying
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document.write( "21x + 70 = 25x + 50
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document.write( "21x - 25x = 50 - 70 
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document.write( "- 4x = - 20
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document.write( ", or 5
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document.write( "Smaller original number:  3(5), or 
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document.write( "Larger original number:   5(5), or  \n" );
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