Cyril Dalibor age

Cyril was one-quarter the age of Dalibor 3 years ago. In how many years will Cyril be half as old, given that he is now one-third as old?

Final Answer:

x =  9

Step-by-step explanation:


(c-3) = (d-3)/4
c = d/3
(c+x) = (d+x)/2

4c-d = 9
3c-d = 0
2c-d+x = 0

Row 2 - 3/4 · Row 1 → Row 2
4c-d = 9
-0.25d = -6.75
2c-d+x = 0

Row 3 - 2/4 · Row 1 → Row 3
4c-d = 9
-0.25d = -6.75
-0.5d+x = -4.5

Pivot: Row 2 ↔ Row 3
4c-d = 9
-0.5d+x = -4.5
-0.25d = -6.75

Row 3 - -0.25/-0.5 · Row 2 → Row 3
4c-d = 9
-0.5d+x = -4.5
-0.5x = -4.5


x = -4.5/-0.5 = 9
d = -4.5-x/-0.5 = -4.5-9/-0.5 = 27
c = 9+d/4 = 9+27/4 = 9

c = 9
d = 27
x = 9

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