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In Mathematics / High School | 2014-03-20

The sum of Kris and Victor's ages is 27 years. In 3 years, Victor will be twice as old as Kris will be. What are their present ages?

Asked by Dalvin

Answer (3)

let k=kris and victor =v k+v=27 in 3 years, victor will be twice as old as kris will be.so v+3=2(k+3) v=2k+6-3 v=2k+3 so (2k+3)+k=27 3k=24 k=8 27-8=19 **kris is 8 years now. victor is 19 years old. **

Answered by a630061087 | 2024-06-10

LET KRIS'S AGE BE X YEARS AND VICTOR'S AGE BE Y YEARS GIVEN, X + Y = 27 ------------EQ 1 IN THREE YEARS, KRIS WILL BE X+3 YEARS AND VICTOR WILL BE Y+3 YEARS**
******GIVEN , Y+3 = 2(X +3 ) **** Y+3 = 2X+ 6 Y - 2X =6-3 Y - 2X =3 ------------EQ 2 FROM EQ 1 WE GET, X =27 -Y SUBSTITUTING THE VALUE OF X IN EQ 2 ,WE GET Y - 2(27 -Y) =3 Y - 54 +2Y =3 3Y-54 =3 3Y =57 Y=57/3 =19 PUTTING THE VALUE OF Y IN EQ 1 X +19 =27 X =27-19=8 THEREFORE, KRIS IS 8 YEARS OLD AND VICTOR IS19 YEARS OLD

Answered by Anonymous | 2024-06-10

Kris is currently 8 years old and Victor is 19 years old. This was determined by setting up two equations based on their current ages and the conditions given in the problem. By solving these equations, we found their respective ages.
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Answered by Anonymous | 2024-10-14