SOLUTION: Please help me solve this problem Michelle is 9 years younger than Ana. If the sum of their ages is 31, find their ages. Email: lejmariscervo@yahoo.com Thanks!

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Question 818743: Please help me solve this problem
Michelle is 9 years younger than Ana. If the sum of their ages is 31, find their ages.
Email: lejmariscervo@yahoo.com
Thanks!
Answer by jhunjiro(67) About Me  (Show Source):
You can put this solution on YOUR website!

Let :
y = age of Ana
y-9 = age of Michelle
Given:
sum of their ages is 31.
Solution:
age of Ana + age of Michelle = 31
y + (y-9) = 31
y + y -9 = 31
2y -9 = 31
2y = 31 + 9
2y = 40
2y/2 = 40/2
y= 20 age of Ana
Age of michelle = y -9
Age of michelle = 20 -9
Age of michelle = 11
Final Answer:
Age of Ana = 20
Age of Michelle = 11