Answer:
Kate is 16, Bob is 12
Step-by-step 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
