Sylvie's age is 5 years less half of Katie's age. If sylvie is 11 years old, what is Katie's age?
Katie's age --- x
Sylvie's age = (1/2)x - 5
(1/2)x - 5 = 11
solve for x
5. Vincent and Kyle are cousins. The difference of three times Vincent’s age, v, and twice Kyle’s age, k,
is eleven. If Kyle’s age is twelve more than a third of Vincent’s age, write and solve a system of equations
to determine their ages.
To find Katie's age, we need to use the information given in the question.
First, we know that Sylvie's age is 11 years old.
The question also states that Sylvie's age is 5 years less than half of Katie's age.
Let's denote Katie's age as "K". We can set up an equation based on the given information:
Sylvie's age = 5 less than half of Katie's age
11 = (1/2)K - 5
To solve for K, we can add 5 to both sides of the equation:
11 + 5 = (1/2)K
16 = (1/2)K
Next, we can multiply both sides of the equation by 2 to get rid of the fraction:
2 * 16 = K
32 = K
Therefore, Katie is 32 years old.