A man is 4 times older than his son 7 years ago the man was 11 years older than his son
m = 4s
m-7 = s + 11
This is interpreting the 2nd condition as
7 years ago the man was 11 years older than his son is now
To solve this problem, we can use variables to represent the ages of the man and his son. Let's assume the current age of the son is S, and the current age of the man is M.
According to the problem, the man is 4 times older than his son. This can be expressed as: M = 4S.
7 years ago, the man was 11 years older than his son. This can be expressed as: M - 7 = S - 7 + 11.
Now, we have two equations:
1. M = 4S
2. M - 7 = S - 7 + 11
To find the ages of the man and his son, we can solve these equations simultaneously:
Substitute the value of M from the first equation into the second equation:
4S - 7 = S - 7 + 11
Now, simplify the equation:
4S - S = 4
3S = 4
S = 4/3
Substitute the value of S back into the first equation to find M:
M = 4 * (4/3)
M = 16/3
So, the current age of the son is 4/3, and the current age of the man is 16/3.