Kim is 9 years older than her siater. kim is one more than 3 times her sisters age. How old is kim?
Let siate age = x
And Kim aged = x + 9
Since kim age is one more than 3 times siate age
Therefore:
x + 9 = 1 + 3x
9 - 1 = 3x - x
8 = 2x
x = 4 (Siate age)
Kim age is 1 more than 3 times Siate age:
1 + 3x = 13 Kim age.
Who goes on here to do math for fun?
To find out Kim's age, let's use algebra to solve the problem step by step.
Let's assume Kim's sister's age as 'x'.
According to the first statement "Kim is 9 years older than her sister," we can write:
Kim's age = Sister's age + 9
Therefore, Kim's age = x + 9 (Equation 1)
According to the second statement "Kim is one more than 3 times her sister's age," we can write:
Kim's age = 3 times Sister's age + 1
Therefore, Kim's age = 3x + 1 (Equation 2)
Now we can equate Equation 1 and Equation 2 because both represent Kim's age:
x + 9 = 3x + 1
To solve this equation, we can simplify it:
Step 1: Subtract 'x' from both sides:
9 = 2x + 1
Step 2: Subtract 1 from both sides:
8 = 2x
Step 3: Divide both sides by 2:
x = 4
Hence, Kim's sister is 4 years old.
Now, to find Kim's age, we substitute the value of x (her sister's age) back into Equation 1:
Kim's age = x + 9
Kim's age = 4 + 9
Kim's age = 13
Therefore, Kim is 13 years old.