Three siblings

Three siblings have a birthday in one day-today. Together they have 35 years today. The youngest is three years younger than the middle, and the oldest is five years older than the middle. How old is each?

Correct answer:

a =  8
b =  11
c =  16

Step-by-step explanation:


a+b+c=35
a = b - 3
c = 5+b

a+b+c = 35
a-b = -3
b-c = -5

Row 2 - Row 1 → Row 2
a+b+c = 35
-2b-c = -38
b-c = -5

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 35
-2b-c = -38
-1.5c = -24


c = -24/-1.5 = 16
b = -38+c/-2 = -38+16/-2 = 11
a = 35-b-c = 35-11-16 = 8

a = 8
b = 11
c = 16

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