SOLUTION: the sun of the ages of 6 children born at intervals of 3 years each is 81. what is the age of the youngest ?

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Question 954957: the sun of the ages of 6 children born at intervals of 3 years each is 81. what is the age of the youngest ?
Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the youngest a. The next is therefore a+3. And the one after that a+6:
a+a+3+a+6+a+9+a+12+a+15 = 81 Add on the left
6a+45= 81 subtract 45 on both sides
6a= 36 divide both sides by 6:
a= 6 The youngest child is 6.
Proof:
6+(6+3)+(6+6)+(6+9)+(6+12)+(6+15)= 6+9+12+15+18+21= 81 Correct.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the age of the youngest one
Their ages are:
+x+, +x+%2B+3+, +x+%2B+6+, +x+%2B+9+, +x+%2B+12+
and +x+%2B+15+
------------------
+x+%2B+x+%2B+3+%2B+x+%2B+6+%2B+x+%2B+9+%2B+x+%2B+12+%2B+x+%2B+15+=+81+
+6x+%2B+45+=+81+
+6x+=+36+
+x+=+6+
The youngest is 6
------------------
check:
Their ages are:
+6+%2B+9+%2B+12+%2B+15+%2B+18+%2B+21+=+81+
+81+=+81+
OK