how do you solve? kim's mom is 47 years old. in 5 years her mother will be 10 years older than twice what kim's age will be. how old is kim now?
kim's present age --- x
mom's present age -- 47
in 5 years:
kim's age == x+5
mom's age == 52
52 = 2(x+5) + 10
52 = 2x + 10 + 10
x = 16
Kim is now 16
check:
in 5 years , Kim is 21
Mom is 52
what is twice 21 + 10 ?? ,,, mmmh, I get 52
Well, it seems like Kim's mom is playing a game of age arithmetic! Let's try to solve this puzzle.
Let's assume Kim's age now is x. In 5 years, Kim's age will be x + 5.
According to the puzzle, Kim's mom will be 10 years older than twice what Kim's age will be in 5 years. So, we can express this as:
47 + 5 = 2(x + 5) + 10
Now, let's simplify that equation and solve for x, Kim's current age:
52 = 2x + 10
Subtracting 10 from both sides:
42 = 2x
Dividing by 2:
x = 21
So, Kim is currently 21 years old. But hey, don't forget to send my regards, and maybe a funny clown wig, to Kim's mom!
To solve this problem, let's break it down step-by-step:
1. Let's assume Kim's age is represented by the variable "K".
2. According to the problem, Kim's mom is currently 47 years old.
3. In 5 years, Kim's mom will be "47 + 5 = 52" years old.
4. In 5 years, Kim's age will be "K + 5" years old.
5. According to the problem, Kim's mom, in 5 years, will be "10 years older than twice what Kim's age will be". This can be represented by the equation: (K + 5) * 2 + 10 = 52.
6. Simplifying the equation, we get: 2K + 10 + 10 = 52.
7. Combining like terms, we have: 2K + 20 = 52.
8. Subtracting 20 from both sides of the equation, we get: 2K = 32.
9. Dividing both sides of the equation by 2, we get: K = 16.
Therefore, Kim is currently 16 years old.
To solve this problem, we can set up an equation using the information given.
Let's assume Kim's current age is x.
According to the problem, Kim's mother is currently 47 years old. In 5 years, Kim's mother will be (47 + 5) = 52 years old.
Using the information given, in 5 years, Kim's age will be (x + 5).
The problem states that in 5 years, Kim's mother will be 10 years older than twice what Kim's age will be. Thus, we can express this mathematically as:
52 = 2(x + 5) + 10
Now, we can solve this equation to find Kim's current age:
52 = 2x + 10 + 10
52 = 2x + 20
2x = 52 - 20
2x = 32
x = 32/2
x = 16
Therefore, Kim is currently 16 years old.