Question

11. There are two metal bars of lengths 120 cm and 225 cm. Short bars of equal
length are cut from both metal bars. Find the largest possible length of each
short bar.

Answer 1

Answer:

$\red{ The\: largest \:possible \:length\: of}$

$\red { eachshort bar}$

$\green {= 15 \:cm }$

Step-by-step explanation:

$Given \: lengths \: of \: two \: metal \: bars \\are \: 120\:cm \: and \: 225 \:cm$

/*According to the problem given,

Find the HCF of 120 and 225:

120 = 2³ × 3¹ × 5¹

225 = 3² × 5²

HCF (120 , 225) = 3¹ × 5¹ = 15

Therefore.,

The largest possible Length of each short bar = 15 cm

$\red{ The\: largest \:possible \:length\: of}$

$\red { eachshort bar}$

$\green {= 15 \:cm }$

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