If Adam is 30 years older than Alyssa and the sum of their ages is 36. How old are they?
30 + x = 36
Ms. Sue meant to say:
x + 30+x = 36
2x = 6
x = 3
But 3 + 30 = 33
What am I doing wrong?
x=3, so
Alysia is 3 and Adam is 33
3+33 = 36
Ahhh!! Thanks Reiny. I just couldn't see that before.
To solve this problem, let's assign variables to represent Adam and Alyssa's ages. Let's say Alyssa's age is A, and Adam's age is A + 30 (since Adam is 30 years older than Alyssa).
Now, we know that the sum of their ages is 36. So, we can write the equation:
A + (A + 30) = 36
Simplifying the equation, we get:
2A + 30 = 36
Subtracting 30 from both sides of the equation:
2A = 6
Dividing both sides of the equation by 2:
A = 3
So, Alyssa's age is 3.
Since Adam is 30 years older than Alyssa, Adam's age is:
A + 30 = 3 + 30 = 33
Therefore, Alyssa is 3 years old and Adam is 33 years old.