Siblings ages

The average age of the siblings Stan, Randy, and Patricia are ten years. Stan is twice as old as Randy, and Patricia is two years younger than Randy. Determine the age of each sibling.

Final Answer:

p =  6
r =  8
s =  16

Step-by-step explanation:


(s+r+p)/3=10
s = 2r
p = r-2

(s+r+p)/3=10
s = 2·r
p = r-2

p+r+s = 30
2r-s = 0
p-r = -2

Row 3 - Row 1 → Row 3
p+r+s = 30
2r-s = 0
-2r-s = -32

Row 3 + Row 2 → Row 3
p+r+s = 30
2r-s = 0
-2s = -32


s = -32/-2 = 16
r = 0+s/2 = 0+16/2 = 8
p = 30-r-s = 30-8-16 = 6

p = 6
r = 8
s = 16

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algebraUnits of physical quantitiesGrade of the word problem

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