s = b+6
s-5 = 3/2 (b-5)
so,
s-5 = 3/2(s-6-5)
s-5 = 3/2 (s-11)
2s-10 = 3s-33
s = 23
How did the teacher come up with Sara's current age of 23? I have no idea
s-5 = 3/2 (b-5)
so,
s-5 = 3/2(s-6-5)
s-5 = 3/2 (s-11)
2s-10 = 3s-33
s = 23
Let's assume Ben's current age is x.
According to the first statement, Sara is six years older than Ben. So, Sara's current age can be represented as x + 6.
Now, let's consider the second statement. Five years ago, Sara was one and a half times as old as Ben. We can represent this information as:
(Sara's age five years ago) = 1.5 * (Ben's age five years ago)
To simplify the equation, we need to subtract 5 from both the ages:
(Sara's current age - 5) = 1.5 * (Ben's current age - 5)
Substituting the values we got earlier, the equation becomes:
(x + 6 - 5) = 1.5 * (x - 5)
Simplifying further:
(x + 1) = 1.5(x - 5)
x + 1 = 1.5x - 7.5
0.5x = 8.5
x = 17
So, Ben's current age is 17.
Substituting this value in the equation we created earlier, we can find Sara's current age:
Sara's current age = x + 6 = 17 + 6 = 23
Therefore, Sara's current age is 23, based on the given information and solving the equations.