Answer:
6 years
Explanation:
Let x be the year that Dianne is 5 times older than her daughter, which is also her daughter's age.
So Dianne's age would be 5x
But Dianne is also 24 years older than her daughter
so 5x = x + 24
We can solve this equation for x
4x = 24
x = 6
After 6 years, Dianne will be 30 years old, and her daughter will be 6 years old.