alma is 6 years older than her sister ana. four years ago, ana's age is more than half of alma's age. what are their present ages
aLma=ana+6
1/2 (alma-4)<ana-4
1/2 (ana+6 -4)<ana-4
ana+2 < 2ana-8
ana>10
alma>16
check that.
To determine the present ages of Alma and Ana, we can set up a system of equations based on the given information.
Let's assume Alma's present age is A, and Ana's present age is B.
According to the problem, "Alma is 6 years older than her sister Ana," which can be expressed as:
A = B + 6 ...(Equation 1)
It is also stated that "four years ago, Ana's age is more than half of Alma's age." Let's calculate the ages of Alma and Ana four years ago:
Four years ago, Alma's age would be A - 4, and Ana's age would be B - 4.
According to the given information, "Ana's age is more than half of Alma's age," which can be expressed as:
B - 4 > (A - 4) / 2 ...(Equation 2)
Now, we have two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of A and B.
Let's substitute Equation 1 into Equation 2:
B - 4 > (B + 6 - 4) / 2
Simplifying:
B - 4 > B + 1
Subtracting B from both sides:
-4 > 1
This is not possible, as -4 is not greater than 1. Therefore, there must be an error in the given information or problem.
Please double-check the problem statement, and make sure all the details are accurate.