A woman IS four Times as old a her son .in five years Time,she will be three Times as old as her son.how old IS the
w = 4s
w+5 = 3(s+5)
Now work your magic.
Let's start by assigning variables to represent the ages of the woman and her son. Let's say the woman's age is W and the son's age is S.
According to the given information, "A woman is four times as old as her son", we can set up the equation:
W = 4S ----(Equation 1)
The second piece of information states, "In five years time, she will be three times as old as her son." This can be expressed as:
(W + 5) = 3(S + 5) ----(Equation 2)
Now, we can solve this system of equations to find the values of W and S.
Substituting Equation 1 into Equation 2, we get:
(4S + 5) = 3(S + 5)
Expanding the equation:
4S + 5 = 3S + 15
Simplifying the equation:
4S - 3S = 15 - 5
S = 10
Now that we know the son's age is 10, we can substitute this value back into Equation 1 to find the woman's age:
W = 4S
W = 4(10)
W = 40
Therefore, the woman is 40 years old.
To find out how old the woman is, we can set up an equation based on the information provided.
Let's assume that the current age of the son is represented by "x".
According to the first statement, "A woman is four times as old as her son", we can write this as an equation: Woman's age = 4 * Son's age. Therefore, the woman's age is 4x.
Now, let's consider the second statement, "In five years' time, she will be three times as old as her son." This means that after five years, the woman's age plus five will be equal to three times the son's age plus five.
Mathematically, this can be written as (Woman's age + 5) = 3 * (Son's age + 5). Substituting the expression for the woman's age from the first equation, we get (4x + 5) = 3 * (x + 5).
Now, we can solve this equation to find the value of x, which represents the son's current age.
Expanding the equation, we get 4x + 5 = 3x + 15.
Simplifying the equation, we subtract 3x from both sides: 4x - 3x + 5 = 3x - 3x + 15, which gives us x + 5 = 15.
Next, subtract 5 from both sides: x + 5 - 5 = 15 - 5, resulting in x = 10.
So, the son's current age is 10 years old.
To find the woman's age, we can substitute this value back into the first equation: Woman's age = 4 * Son's age = 4 * 10 = 40.
Therefore, the woman is currently 40 years old.