Math, asked by ehtishamm, 8 months ago

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Answered by zahaansajid
2

Let the digits be x and y

Hence the number is = 10x+y

reversed number = 10y+x

By conditions,

x + y = 10 \\ 12x + 12y = 120 -  -  -  > (1) \\  \\ 10x + y +  \frac{10y + x}{2}  = 96 \\ 20x + 2y + 10y + x = 96 \times 2 \\ 21x + 12y = 192 -  -  -  > (2) \\  \\ (2) - (1) =  > 21x - 12x = 192 - 120 \\ 9x = 72 \\ x = 8 \\  \\ x + y = 10 \\ y = 10 - x = 10 - 8 = 2

Therefore the number is = 10x+y

= 80 + 2 = 82

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