Question

Sa se gaseasca numerele pozitive a,b,c stiind ca a:2=b:3=c:5 si a*a+ b*b+c*c=342

Answer 1

a/2=b/3=c/5=k

a=2k

b=3k


c=5k

2k×2k+3k×3k+5k×5k=342

4k^2+9k^2+25k^2=342

38k^2=342

k^2=9

k=3

a=2×3=6

b=3×3=9

c=5×3=15

PROBA:6×6+9×9+15×15=36+81+225=342