Eight years ago Sam was eight times the age of his son Sam Jr - Today if you add their ages together they add up to 52 How old are sam and his sun?
Sam is 40 and Sam Junior is 12.---In two equations in the past:Let S = Sam and J = JuniorS + J = 52S + J = 36 (52-16)S = 8Jso 9J = 36, J was 4, and S was 32Today, Sam is 40 and J is 12Eight years ago, (40-8) = 8 (12-8), 32 = 8 x 4---In two equations in the present:S + J = 52S - 8 = 8 (J - 8)and(52 - J) - 8 = 8 (J - 8)44 - J = 8J - 6444 = 9J - 64108 = 9J and J = 12, S = 40-----------------------------------------------------Answer 3Assume the father age is S and the son age is JThen :S + J = 52 ............................................................. (1)(S-8) = 8 x (J-8)S - 8J = 8 - 64S - 8J = - 56 .............................................................(2)Subtracting eqn (2) from eqn (1) gives:9J = 108J = 12 yearsSubstituting in eqn (1) with J = 12 gives S = 52 - 12 = 40 yearsJ = 12 and S = 40