Question

A two digit no is 6 times the sum of its digit and if 9 is subtracted from it the digit becomes reversed

Answer 1

Let the digits be x,y

10x+y=6(x+y) => 4x=5y => 4x-5y=0 -----------------------(1)

10x+y-9=10y+x => 9x-9y=9 => x-y=1 ----------------------(2)

            4x-5y = 0

(2)*4 => 4x-4y = 4

Subtracting we get -y=-4 => y=4

Sub in (2)

x-4 = 1 => x=5

Thus the number is 10*5+4 = 54

Answer 2

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