in a two digit number the face value of the digit at tens place is 4 times that of the digit at one place if 54 is subtracted from the number then the digits are reversed find the number
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let the unit place be x
tens place be 4x
original number =40x + x = 41x
the digit is reversed =10x + 4x = 14x
according to the Question
41x - 54 = 14x
41x - 14x = 54
27x = 54
x = 2
the original number = 82
tens place be 4x
original number =40x + x = 41x
the digit is reversed =10x + 4x = 14x
according to the Question
41x - 54 = 14x
41x - 14x = 54
27x = 54
x = 2
the original number = 82
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