Answer :
Final answer:
In 3 years, Susie will be one-fourth of her mother's age. We found this by setting up an equation and solving for the variable representing the number of years required for this to occur.
Explanation:
The subject of this question is Mathematics. Susie is currently 5 years old and her mother is 29 years old. To find out in how many years Susie will be one-fourth of her mother's age, let's set up an equation where x represents the number of years it will take for this to happen.
We know that Susie's age will be 5 + x and her mother's age will be 29 + x in x years. To express that Susie will be one-fourth of her mother's age, we can write the equation as:
5 + x = (1/4)*(29+x)
To solve for x, we multiply both sides by 4 to eliminate the fraction:
4 × (5 + x) = 29 + x
20 + 4x = 29 + x
Now, we subtract x from both sides to get:
20 + 3x = 29
Next, we subtract 20 from both sides:
3x = 9
Finally, we divide by 3:
x = 3
This means that it will take 3 years for Susie to be one-fourth of her mother's age.
