please solve this, ty.
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Here is ur answer
Mark as brainliest
Mark as brainliest
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Answer: 18
Step-by-step explanation:
Let the 2-digit number be XY
Its represented as 10X + Y
Given,
Sum of digits = 9
X+Y = 9 ....(i)
Then, 9 times the number = twice the number obtained by reversing its digits
9 [10X + Y] = 2 [10Y + X]
90X + 9Y = 20Y + 2X
88X - 11Y = 0
8X - Y = 0 [Dividing throughout by '11']
Y = 8X ....(ii)
Substitute the value of 'Y' in eq.(i)
X + 8X = 9
9X = 9
X = 1
Y = 8
Hence the number is 18.
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