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Class 10 > Learn Class IX-X Tuition > What 5-digit number has the following property? If...
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What 5-digit number has the following property? If we put numeral 1 in front of the number, we get a number three times smaller, than if we put the numeral 1 behind this number.

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let the 5 digit number be x so according to the question, 3(100000 + x) = 10x+1 10x+1 = 3(100000 + x) 10x+1 = 300000 + 3x 10x = 299999 + 3x 7x = 299999 x = 299999/7 x = 42857 so the req. 5 digit number is 42857 we can also check here that 142857 is three times smaller than 428571
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M.A. (Literature) - Jawaharlal Nehru University, New Delhi B.Sc from Delhi University

If the original num be x, then we can solve for 3(100 000 + x) = 10x + 1
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Software Professional Trainer with 26+ years of Experience in Software Design and Development

Unknown 5 digit number NUM 3(100000 + NUM) = 10NUM+1 10NUM+1 = 3(100000 + NUM) 10NUM+1 = 300000 + 3NUM 10NUM = 299999 + 3NUM 10NUM - 3NUM = 299999 7NUM = 299999 NUM = 299999 / 7 NUM = 42857 142857 is 3 times smaller than 428571
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We can make an equation: 3(100000 + x) = 10x+1 (Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number) Solving this gives: 10x+1 = 3(100000 + x) 10x+1 = 300000 + 3x 10x = 299999 + 3x 7x = 299999 x...
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We can make an equation: 3(100000 + x) = 10x+1 (Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number) Solving this gives: 10x+1 = 3(100000 + x) 10x+1 = 300000 + 3x 10x = 299999 + 3x 7x = 299999 x = 299999/7 = 42857 The answer is 42857 (142857 is three times smaller than 428571) read less
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42857 142857 is three times smaller than 428571
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42857
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Brain Trainer

If the original num be x, then we can solve for 3(100 000 + x) = 10x + 1 42857 will be the answer.
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42857
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Maths Tutor

42857
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