The ratio of the ages of two sisters is 4:3 the elder sister is 3 years older than the younger one. how old is the younger one
Let's denote the age of the younger sister as "x".
According to the given information, the ratio of their ages is 4:3.
Therefore, the elder sister's age can be calculated as (4/3) * x = (4x/3).
It is also given that the elder sister is 3 years older than the younger sister.
So, we can set up the equation: (4x/3) = x + 3.
To solve for x, we can multiply through by 3 to eliminate the fraction:
4x = 3(x + 3).
Expanding the equation:
4x = 3x + 9.
Subtracting 3x from both sides:
x = 9.
Therefore, the younger sister is 9 years old.