Determine 3412

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

Correct 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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