Today Justin reached 1/11 the age his mother was when he was born. Today Justin's mother is ____ times as old as Justin.
Let
x=Justin's age today.
x years ago, her mother's age was 11x.
Today, her mother's age is 11x+x=12x.
Therefore:
Today Justin's mother is ____ times as old as Justin?
To find the answer, let's break down the information provided. We know that today Justin reached 1/11 the age his mother was when he was born. This means that Justin's current age is 1/11 of the age his mother was when Justin was born.
Let's assign some variables:
- Let J represent Justin's current age.
- Let M represent Justin's mother's current age.
We are given that Justin reached 1/11 the age his mother was when he was born. So, we can write this as an equation:
J = (1/11) * (M - J)
We can simplify this equation by multiplying both sides by 11:
11J = M - J
Now, let's solve for M, which represents Justin's mother's current age:
11J + J = M
Combining like terms:
12J = M
So, Justin's mother's current age (M) is 12 times Justin's current age (J). Therefore, Justin's mother is 12 times as old as Justin.