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5)Equation 1: J/A = 2/7 -> 7J=2A
Equation 2: (J+8) / (A+8) = 2/5 -> 5J + 40 = 2A + 16
Substitute equation 1 into equation 2
5J + 40 = 7J +16
7J-5J = 40-16
2J = 24
J = 12
James present age is 12.
A = (7J)/2 = (7*12)/2 = 64/2 = 42
Andy's present age is 42.
6)
Equation 1: (K-38)/S = 2/5 -> 2S = 5K-190
Equation 2: K/(S-38) = 8/13 -> 13K = 8S-304
Substitute equation 1 into equation 2 to get
13K = 4 (5K-190) - 304
K = 152
Solve equation 1 using K=152
S = ((5x152) -190)/2 = 285
Keith has $152 and Shawn has $285