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

Answer 1

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.