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

1.	If the LCM and hcf of two numbers is 1260 and their LCM is 900 more than their hcf
Answer» Let the HCF be xLCM=HCF+900LCM=x+900 --(1)And\xa0LCM+HCF=1260LCM+x=1260 --(2) From (1) and (2)(x+900)+x=12602x+900=12602x=1260−9002x=360x=2360\u200bx=180HCF\xa0=180And, from (1),LCM=HCF+900LCM=180+900LCM=1080By formula, product of the numbers is equal to the product of their HCF and LCM.Product of numbers\xa0=HCF×LCM =180×1080Product\xa0=194400

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