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Three children have an average age of 7 years 11 months. If The youngest child is not included, the average age increases to 8 years 11 months. Find the age of the youngest child.​

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Explanation:

7 yr 11 mos = 95 mos

8 yr 11 mos = 107 mos

(x + y + z) / 3 = 95 mos z is youngest

(x+y)/2 = 107 or x+y = 214 <=====sub into first equation

(214 + z ) / 3 = 95 solve for 'z'

214+ z = 285

z = 71 months = 5 yrs 11 months

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