SOLUTION: The Sum of the ages of the three Romano brothers is 63. If their ages can be represented as consecutive integers, what is the age of the middle brother?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Sum of the ages of the three Romano brothers is 63. If their ages can be represented as consecutive integers, what is the age of the middle brother?      Log On


   



Question 710365: The Sum of the ages of the three Romano brothers is 63. If their ages can be represented as consecutive integers, what is the age of the middle brother?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let their ages be +x+, +x%2B+1+, +x+%2B+2+
given:
+x+%2B+x+%2B+1+%2B+x+%2B+2++=+63+
+3x+=+63+-+3+
+3x+=+60+
+x+=+20+
+x+%2B+1+=+21+
+x+%2B+2+=+22+
Their ages are 20, 21, and 22
check:
+20+%2B+21+%2B+22+=+63+
+63+=+63+
OK