Question

Kate is 4 years older than Bob. If the sum of their ages is 28, what are the ages of

Kate and Bob?

Answer 1

Kate is 16, Bob is 12

Explanation:

Since Kate is 4 years older than Bob, Kate's age is represented by the following equation:

B+4=K

Bob's age is just B

Now, the sum of their ages is 28, which means we add Kate's and Bob's age:

Instead of writing K+B=28, we would write the equation with the same variable:

B+4+B= 28

(B+4= Kate's age)

add like terms

2b+4=28

subtract 4 from both sides

2b=24

divide by 2

b=12

12 is Bob's age and to find Kate's age, we add 4

Kate is 16.

Hope this helps

Answer 2

Bob is 24 Kate is 28