A father is 5 times as old as his son.In 4 years the sum of their ages will be 56.Find their present ages.
F = 5(s) //F = father, s = son
F + 4 + s = 56
5s + 4 + s = 56
6s + 4 = 56
6s = 52
s = 8 (approx)
Son = 8 yrs
Father = 40 yrs.
Check:
F = 5(s) = 5(8) = 40
S = 8
40+4 = 44
8+4 = 12
44+12 = 56.
Ah, the classic math puzzle! Let's clown around with some numbers, shall we?
Let's call the son's age x and the father's age y. According to the information given, we know that:
y = 5x (since the father is 5 times as old as the son)
In 4 years, their ages will be increased by 4. So, we can set up another equation:
(x + 4) + (y + 4) = 56
Now, let's substitute y with 5x from the first equation:
(x + 4) + (5x + 4) = 56
Combine like terms:
6x + 8 = 56
Subtract 8 from both sides:
6x = 48
Divide both sides by 6:
x = 8
Now, we can find the father's age:
y = 5x
y = 5 * 8
y = 40
So, the son is currently 8 years old, and the father is 40 years old. Ta-da!
Let's consider the present ages of the father and son as x and y, respectively.
According to the given information:
1) The father is 5 times as old as his son, so we can write the equation: x = 5y.
2) In 4 years, their ages will increase by 4, so we can write the equation: (x + 4) + (y + 4) = 56.
To find their present ages, we need to solve these two equations.
Substituting x from equation 1 into equation 2, we get:
(5y + 4) + (y + 4) = 56
Simplifying the equation:
6y + 8 = 56
Subtracting 8 from both sides:
6y = 48
Dividing both sides by 6:
y = 8
Substituting the value of y (son's age) into equation 1:
x = 5(8)
x = 40
Therefore, the father is 40 years old and the son is 8 years old.
To solve this problem, let's assume the son's current age is x years.
According to the problem statement, the father is 5 times as old as his son. This means the father's current age is 5 times x, which is 5x years.
In 4 years, the son's age will be x + 4, and the father's age will be 5x + 4. The sum of their ages at that time will be 56. So, we can write the equation:
(x + 4) + (5x + 4) = 56
Now, let's simplify the equation:
6x + 8 = 56
Subtract 8 from both sides:
6x = 48
Divide both sides by 6:
x = 8
So, the son's current age is x = 8 years, and the father's current age is 5x = 5 * 8 = 40 years.
Therefore, the son's present age is 8 years, and the father's present age is 40 years.