Let's represent the man's age as M and the son's age as S.
Given:
1) M = 4S (The man is four times as old as his son)
2) M - 5 = 7(S - 5) (Five years ago, the man was seven times as old as his son)
a) How old are they now?
Substituting equation 1) into equation 2) to eliminate M:
4S - 5 = 7(S - 5)
4S - 5 = 7S - 35
3S = 30
S = 10
Substituting S = 10 into equation 1) to find M:
M = 4(10)
M = 40
Therefore, the man is currently 40 years old, and the son is currently 10 years old.
b) How old were they five years ago?
The man's age five years ago would be M - 5 = 40 - 5 = 35.
The son's age five years ago would be S - 5 = 10 - 5 = 5.
Therefore, five years ago, the man was 35 years old, and the son was 5 years old.
A man is four times as old as his son . Five years ago, the man was seven times as old as his son
a. How old are they now
b. How old were they five years ago?
3 answers
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