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A number is 27 more than number obtained by reversing its digits. If its unit's andten's digit are x and y respectively, write the linear equation representing the abovestatement. |
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Answer» Given units digit is x and tens digit is yHence the two digit number = 10y + xNumber obtained by reversing the digits = 10x + yGiven the original is 27 more than the number obtained by reversing the digits.Hence (10y + x) = (10x + y) + 27⇒ 10y + x – 10x – y = 27⇒ 9y – 9x – 27=0∴ x – y + 3 = 0Thus the required linear equation is x – y + 3 = 0 |
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