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The sum of a two digit number and the number obtained by interchanging its digits is 99. Find the number. |
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Answer» Let the digit in unit’s place be ‘x’ and the digit in ten’s place be ‘y’.
According to the given condition, the sum of a two digit number and the number obtained by interchanging its digits is 99. ∴ 10y + x + 10x +y = 99 ∴ 11x + 11y = 99 Dividing both sides by 11, x + y = 9 if y = 1, then x = 8 If y = 2, then x = 7 If y = 3, then x = 6 and so on. ∴ The number can be 18, 27, 36, … etc |
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