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8) A number of three digits has the hundred digit 4 times the unit digit and the sum of three digits is 14. If the three digits are written in the reverse order, the value of thenumber is decreased by 594. Find the number.A question on Problems on Simultaneous linear equations. |
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Answer» -Three digit number whose sum is 14Hundred digit= 4 times UNIT digitIf the digits are reversed, value of numbers gets decreased by 594To Find :-The number.Solution :-Given that,The sum of the three numbers = 14Hundred digit= 4 times unit digitIf the digits are reversed, value of numbers gets decreased by = 594According to the QUESTION,Let the digit at tens place and unit place be x and y respectively.Then, The digit at hundred place = 4yHence, the number isNow, number FORMED by reversing the digitsAccording to the question, we haveAnd, thenSubstituting the value of y in EQUATION (1), we getTherefore, the number = HENCE, the number is 842. |
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