Lengths 69314

We must cut three steel bars with lengths of 24 dm, 3 m, and 160 cm into equal lengths. Find their maximum length and number.

Correct answer:

l =  20 cm
n =  35

Step-by-step explanation:

a=24 dm cm=24 10  cm=240 cm b=3 m cm=3 100  cm=300 cm c=160 cm  240=2435 300=22352 160=255 GCD(240,300,160)=225=20  l=GCD(a,b,c)=GCD(240,300,160)=20 cm
n1=a/l=240/20=12 n2=b/l=300/20=15 n3=c/l=160/20=8  n=n1+n2+n3=12+15+8=35

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