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The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.

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Let the number be 10x + y. Then x + y = 9 and 9(10x + y) = 2(10y + x). The second simplifies to 88x – 11y = 0, giving y = 8x. Substituting yields x = 1, y = 8. The number is 18.

Ganita Manjari Part 2 chapter 13 question answer
Ganita Manjari Part 2 chapter 13 Two Variables, One Line solutions

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