Younger Carlos

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

Correct answer:

p =  1990
k =  2000

Step-by-step explanation:

(p2005)=3 (k2005) k2020=p2020(k2020)/2  3kp=4010 3k2p=2020  Row2Row1Row2 3kp=4010 p=1990  p=11990=1990 k=34010+p=34010+1990=2000  k=2000 p=1990   Verifying Solution:   p1=2005p=20051990=15 p2=2020p=20201990=30  k1=2005k=20052000=5 k2=2020k=20202000=20



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