a man's age today is 2 years more than three times the age his son will be 5 years from now. let a represent the son's age today. Write an expression to represent the man's age today. Then find his age if his son is now 8 years old.
21
m=3(a+5)+2
m=3(8+5)+2
m=3(13)+2
m=39+2
m=41
To write an expression to represent the man's age today, let's break down the given information step by step.
We are given that a man's age today is 2 years more than three times the age his son will be 5 years from now. Let's start by representing the son's age today as 'a'.
1. The son's age 5 years from now: a + 5
2. Three times the son's age 5 years from now: 3(a + 5)
3. The man's age today, which is 2 years more than three times the son's age 5 years from now: 3(a + 5) + 2
Now, to find the man's age if his son is now 8 years old, substitute 'a' with 8 in the expression we derived:
Man's age today = 3(a + 5) + 2
Man's age today = 3(8 + 5) + 2
Man's age today = 3(13) + 2
Man's age today = 39 + 2
Man's age today = 41 years old
Therefore, if the son is now 8 years old, the man's age today is 41.