Threesome

Dana, Dalibor, and Michael have a combined 57 years. Dana is five years older than Dalibor, but Dana is five years younger than Michael. Find how old is Dana, Dalibor, and Michael.

Correct answer:

a =  19
b =  14
c =  24

Step-by-step explanation:


a+b+c=57
a = 5+b
a = c-5

a+b+c = 57
a-b = 5
a-c = -5

Row 2 - Row 1 → Row 2
a+b+c = 57
-2b-c = -52
a-c = -5

Row 3 - Row 1 → Row 3
a+b+c = 57
-2b-c = -52
-b-2c = -62

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 57
-2b-c = -52
-1.5c = -36


c = -36/-1.5 = 24
b = -52+c/-2 = -52+24/-2 = 14
a = 57-b-c = 57-14-24 = 19

a = 19
b = 14
c = 24

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