1.

The LCM of two numbers is 8112 times of the HCF of the numbers. The sum of LCM and HCF of numbers is 40565 . If one of the numbers is 240, then what is the other number?1). 6322). 9223). 8454). 1260

Answer»

let the HCF be K

∴ LCM = 8112k

Then, k + 8112k = 40565

⇒ 8113k = 40565

⇒ k = 5

∴ LCM =8112k = 8112 × 5 = 40560

⇒ First number × SECOND number = LCM × HCF

240 × second number = 40560 × 5

⇒ Second number = $(\frac{{40560\times 5}}{{240}}{\rm{\;\;}} = {\rm{\;}}845)$


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