The sum of the age of father and son is 52 years.five years ago.five years ago the age of the father is five times the age of the son find their present age
Answers
Answered by
0
The sum of the present ages of the father and son is 60 years old.
F+S = 60
6 years ago, the father was 5 times as old as the son.
F-6 = 5(S-5)
System of equations:
F+S = 60
F-6 = 5(S-5)
Solve the first for F
F+S = 60
F = 60-S
Substitute (60-S) for F in the second equation:
F-6 = 5(S-5)
(60-S)-6 = 5(S-6)
Remove parentheses
60-S-6 = 5S-30
54-S = 5S-30
84 = 6S
14 = S
Substitute 14 for S in
F = 60-S
F = 60-14
F = 46
F+S = 60
6 years ago, the father was 5 times as old as the son.
F-6 = 5(S-5)
System of equations:
F+S = 60
F-6 = 5(S-5)
Solve the first for F
F+S = 60
F = 60-S
Substitute (60-S) for F in the second equation:
F-6 = 5(S-5)
(60-S)-6 = 5(S-6)
Remove parentheses
60-S-6 = 5S-30
54-S = 5S-30
84 = 6S
14 = S
Substitute 14 for S in
F = 60-S
F = 60-14
F = 46
Similar questions