A woman is 45 years old. Her daughter is 12 years old.How many years it takes until the daughter is half as old as her mother?
If the mother is twice as old in x years, then we have
45+x = 2(12+x)
21 years
(45+x)=2(12+x).
To find out how many years it takes until the daughter is half as old as her mother, we can set up an equation.
Let's assume the number of years it takes is x.
After x years, the woman will be 45+x years old, and her daughter will be 12+x years old.
According to the problem, we know that the daughter's age after x years should be half of the mother's age after x years. Mathematically, we can write this as:
(12 + x) = 1/2 * (45 + x)
To solve this equation, we can start by multiplying both sides by 2 to eliminate the fraction:
2 * (12 + x) = 45 + x
Simplifying the left side:
24 + 2x = 45 + x
Now, let's isolate the x term by subtracting x from both sides:
x = 45 + x - 24
Simplifying:
x - x = 45 - 24
x = 21
Therefore, it will take 21 years until the daughter is half as old as her mother.