A number consist of two digits that add up to 7.If 27 is added to this number, the digit get reversed . Find the nnmber.
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Let the number be 10x + y
x + y = 7......(1)
10x + y +27 = 10y + x
10x + y + 27 - 10y -x = 0
9x - 9y = -27
x - y = -3.....(2)
Add (1) + (2)
2x = 4
x = 2
put this value of x in (1)
y = 5
The number 10x + y = 10×2 + 5 = 25 Ans
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