Let the number be 10x + y. Then x + y = 15 and (10y + x) − (10x + y) = 9, which simplifies to y − x = 1. Adding both equations gives 2y = 16, so y = 8, x = 7. The number is 78.
NCERT Solution for Class 9 Ganita Manjari Part 2 chapter 13 question answer
NCERT Solution for Ganita Manjari Part 2 chapter 13 Two Variables, One Line solutions
Let the tens digit be x and the units digit be y, making the original number 10x + y. The sum of digits gives x + y = 15. Reversing the digits gives 10y + x. The difference condition (10y + x) − (10x + y) = 9 reduces to 9y − 9x = 9 or y − x = 1. Adding x + y = 15 and y − x = 1 yields 2y = 16, giving y = 8 and x = 7. The number is 78.
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