Question

the sum of 6 children born at 9 year intervals each is 159. what is the age of the youngest child?

Answer 1

STEP 1: Define x:

Let the youngest one be x

Child 1 = x

Child 2 = x + 9

Child 3 = x + 18

Child 4 = x + 27

Child 5 = x + 36

Child 6 = x + 45

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STEP 2: Form equation:

Sum of the 6 children is 159

x + (x + 9) + (x + 18) + (x + 27) + (x + 36) + (x + 45) =159

x + x + 9 + x + 18 + x + 27 + x + 36 + x + 45 =159

6x + 135 = 159

6x = 24

x = 4

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Answer: Youngest Child = 4 years old