Question

Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33. A student used the steps below to find each person’s age.Which corrects the student’s first error?

Answer 1

Answer:

12, 15, 6.

Step-by-step explanation:

1)

Let x - Kareem's age => Sadie's age - x + 3, Nadra - x/2

We end up with the expression;

x + x + 3 + x/2 = 33

Multiply by 2 to get rid of the fraction;

2x + 2x + 6 + x = 66

5x = 60

x = 12 - Kareem's age;

2) x + 3 = 12 + 3 = 15 - Sadie's age;

3) x / 2 = 12 / 2 = 6 - Nadra's age;

Answer 2

In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x + one-half x = 33.