Answer:
Michelle is 14 years old.
Step-by-step explanation:
The only logical explanation for the two being two years apart in age and Michelle being twice as old ten years ago is if Michelle was 4 years old and Nicole was 2 years old ten years ago. To verify this, we can use a System of equations.
Let:
N = Nicole's Age
M = Michelle's Age
N + 2 = M
2n-10 = M
Since both equal Michelle's age, we can make a two step equation out of it.
N + 2 = 2n - 10
2 = N - 10
12 = N
We've found Nicole's age, allowing us to plug the answer back into the variable to get Michelle's.
N + 2 = M
12 + 2 = 14
Answer:
n+2=m m=12+2=14
Step-by-step explanation:
M=N+2
M-10=(n-10)2
m-10=2n-20
m=2n-10
n+2=2n-10
n=2n-12
n-12=0
n=12
