Todd is three years younger than his brother Gerardo. In seven years, the sum of their ages will be thirty-nine. How old are they now?
T + 3 = G
T + 7 + G + 7 = 39 ... T + G = 25
solve the system of equations
... substitution looks like a good method
can you explain a lil more please I don't understand it.
This is like process map 5d
18 21 = 39 in 7 years
t g
18 - 7 = 11=t
21-7 = 14=g
To determine the current ages of Todd and Gerardo, let's set up an equation using the given information.
Let's assume Todd's age is x.
According to the information given, Gerardo's age would be x + 3, as Todd is three years younger.
In seven years, Todd's age would be x + 7, and Gerardo's age would be (x + 3) + 7, which simplifies to x + 10.
The problem states that the sum of their ages in seven years will be thirty-nine. Therefore, we can write the equation:
(x + 7) + (x + 10) = 39
Now we can solve the equation for x:
2x + 17 = 39
2x = 39 - 17
2x = 22
x = 22 / 2
x = 11
So, Todd's current age is 11 years old.
Using Todd's age, we can determine Gerardo's age by adding 3 years: 11 + 3 = 14.
Therefore, Todd is currently 11 years old, and Gerardo is 14 years old.