The LCMof two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, find the other number.
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let the HCF be x
x +14x =600
15x=600
x=600/15
x=40
HCF= 40
LCM=560
first no. = 280
Product of 2 no. = product of their HCF and LCM
280 × other no. = 40× 560
other no. = 40× 560/280
other no. = 40×2
other no. = 80
x +14x =600
15x=600
x=600/15
x=40
HCF= 40
LCM=560
first no. = 280
Product of 2 no. = product of their HCF and LCM
280 × other no. = 40× 560
other no. = 40× 560/280
other no. = 40×2
other no. = 80
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