Bob is 5 years older than his brother Kevin. the sum of their ages is 17 how old is bob?
Let's call Bob the letter B and Kevin the letter K:
B=K+5 (since Bob is 5 years older than Kevin)
B+K=17 (the sum of their ages combined is 17)
Since we have a value for B, we can substitute that into the equation B+K=17.
(K+5)+K=17
2K+5=17
2K=12
K=6
So since Kevin is 6 years old, this means that Bob is 6+5=11 years old.
To determine Bob's age, we can set up an equation using the information given. Let's assign variables to the unknowns:
Let B be Bob's age and K be Kevin's age.
From the problem, we know that Bob is 5 years older than Kevin, so we can express this as:
B = K + 5
The sum of their ages is given as 17:
B + K = 17
We can solve this system of equations using substitution or elimination. Here, let's use substitution.
Substitute the value of B from the first equation into the second equation:
(K + 5) + K = 17
Simplify the equation:
2K + 5 = 17
Subtract 5 from both sides of the equation:
2K = 12
Divide both sides of the equation by 2:
K = 6
Now that we know Kevin's age is 6, we can substitute this value back into the first equation to find Bob's age:
B = 6 + 5
B = 11
Therefore, Bob is 11 years old.