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If the LCM and hcf of two numbers is 1260 and their LCM is 900 more than their hcf

Posted by Lakshith Bunny 4 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Ritu Raj Yadav 4 years, 2 months ago

Let the HCF be x LCM=HCF+900 LCM=x+900 --(1) And LCM+HCF=1260 LCM+x=1260 --(2) From (1) and (2) (x+900)+x=1260 2x+900=1260 2x=1260−900 2x=360 x=2360 x=180 HCF =180 And, from (1), LCM=HCF+900 LCM=180+900 LCM=1080 By formula, product of the numbers is equal to the product of their HCF and LCM. Product of numbers =HCF×LCM =180×1080 Product =194400

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CBSE > Class 10 > Mathematics