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suppose take fathers as 10x+y and sons age would be 10y+x

given a year ago fathers age is equal to 2*sons age

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

x=(19*y-1)/8

then when x=7 the equation satisfies

so answer is 73 fathers age

and sons age in 37

2 variable 1 equation

Hit and trial method

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