Younger 81047

In 2005, Petr was three times as old as Karel. In 2020, Karel was half his age younger than Petr. In which year was Peter born and in which Karel?

Correct answer:

p =  1960
k =  1990

Step-by-step explanation:

(p2005)=3 (k2005) k2020=0.5 (p2020)  3kp=4010 k0.5p=1010  Row231 Row1Row2 3kp=4010 0.17p=326.67  p=0.16666667326.66666667=1960 k=34010+p=34010+1960=1990  k=1990 p=1960   Verifying Solution:   p1=2005p=20051960=45 p2=2020p=20201960=60  k1=2005k=20051990=15 k2=2020k=20201990=30  45=3 15 60=2 30

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