Ella's age is 8years and her moms age is 42 years . ln how many years time will the mom be three times as old as her daughter
42+x = 3(8+x)
42+*=3(8+*)
42+*=24+3*
*-3*=24-42
-2*=-18
*=9
To find out how many years from now Ella's mom will be three times as old as her, we can set up an equation.
Let's assume that in 'x' years, Ella's mom will be three times her age.
The current age of Ella's mom is 42 years, and Ella's current age is 8 years.
After 'x' years, Ella's mom will be 42 + x years old, and Ella will be 8 + x years old.
According to the problem, Ella's mom will be three times Ella's age. So, we can write the equation as:
42 + x = 3(8 + x)
Now, let's solve this equation to find the value of 'x'.
42 + x = 24 + 3x (using the distributive property)
Group like terms:
x - 3x = 24 - 42
-2x = -18
Divide both sides by -2:
x = (-18) / (-2)
x = 9
Therefore, in 9 years, Ella's mom will be three times as old as Ella.