Answer:
Michelle = 25
Alyssa = 13
Amanda = 9
Step-by-step explanation:
We will set up equations for this problem to help us solve this problem mathematically. Let x be Alyssa, y be Michelle, and z be Amanda.
[] Alyssa is 12 years younger than Michelle.
x = y - 12
[] Michelle 25 ()is 7 years older than twice Amanda's age.
y = (2x) + 7
[] The sum of all three ages is 47.
x + y + z = 47
You gave that y = 25,
Michelle is 25.
Since we know that Alyssa is 12 years younger than Michelle, we can solve for Alyssa.
x = 25 - 12
x = 13
Alyssa is 13.
Lastly, the sum of all three ages is 47.
x + y + z = 47
13 + 25 + z = 47
z = 9
Amanda is 9.
