Question

the LCM of two number is 14 times their gcd and the number of LCM and gcd is 600 if one of the numbers is 280 then find the other number

Answer 1

hi mate here is your answer

let hcf be x

lcm = 14x

x+ 14x =600

x=600/15

x=40

lcm=14 x 40 = 560

hcf = 40

lcm x hcf =280 x y ( let y be the other no.)

560 x 40= 280 x y

560 x 40/280 = y

y = 80

the other no. is 80

hope it helps!!!

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