Question

a two digit number is 3 more than 6 times the sum of its digit.if 18 is added to the number obtained by interchanging the digits we get the original number.find the number​

Answer 1

Answer:

75

Step-by-step explanation:

Let ones digit be y and tens digit be x

Number = 10x + y

==: 10x + y - 6(x + y) = 3

==: 10x + y - 6x - 6y = 3

==: 4x - 5y = 3    .............(1)

==: 10y + x + 18 = 10x + y

==: 10y - y + x - 10x = -18

==: 9y - 9x = -18

==: y - x = -2

==: x - y = 2    .................(2)

From equation 1 and 2 we get,

x = 7 and y = 5

Number = 10x + y

              = 10 * 7 + 5

              = 75

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