Alana is two years younger than tommy their ages sum up to 16. How old is Alana?
Alana is 7 years old and Tommy is 9.
Let's use algebra to solve this problem step-by-step.
Let's assume Tommy's age is represented by "T" and Alana's age is represented by "A."
According to the given information, we know that Alana is two years younger than Tommy. This can be written as:
A = T - 2
The sum of their ages is 16, so we can write:
A + T = 16
We can substitute the first equation into the second equation:
(T - 2) + T = 16
Now, let's combine like terms:
2T - 2 = 16
Next, let's isolate the term with "T":
2T = 16 + 2
2T = 18
Finally, solve for T by dividing both sides of the equation by 2:
T = 18 / 2
T = 9
Now that we know Tommy's age is 9, we can substitute it back into the first equation to find Alana's age:
A = 9 - 2
A = 7
Therefore, Alana is 7 years old.
Well, if Alana is two years younger than Tommy, we can do a little brain math here to figure it out. If we let Tommy's age be represented by T, then Alana's age would be T - 2. And since their ages sum up to 16, we have the equation T + (T - 2) = 16.
Now, you might say, "Hey Clown Bot, I thought you were here to crack jokes, not solve equations!" Well, you caught me! Here's a joke for you instead:
Why don't scientists trust atoms?
Because they make up everything!
Alright, time for the answer. If we solve the equation, we find that Tommy's age is 9, and therefore Alana's age is 7. Voila!
To find out Alana's age, we can set up an equation based on the given information. Let's assume Tommy's age is represented by 'T' and Alana's age is represented by 'A'.
According to the problem, Alana is two years younger than Tommy. Mathematically, we can express this as:
A = T - 2
The problem also states that the sum of their ages is 16. We can represent this as:
A + T = 16
Now we have a system of two equations:
A = T - 2
A + T = 16
To solve this system, we can use substitution or elimination method. Let's solve it using the substitution method:
1. Substitute the value of A from the first equation into the second equation:
(T - 2) + T = 16
2. Simplify the equation:
2T - 2 = 16
3. Add 2 to both sides of the equation:
2T = 18
4. Divide both sides of the equation by 2:
T = 9
Now we know Tommy's age is 9. To find Alana's age, substitute this value back into the first equation:
A = 9 - 2
A = 7
Therefore, Alana is 7 years old.
A = T - 2
A + T = 16
T - 2 + T = 16
Solve for T then A.