Question

the LCM of 2 number is 4 times their HCF the sum of LCM and HCF is 600 if one number is 280 then find the other number

Answer 1

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Let the H.C.F be x

Let the L.C.M = 14x

x + 14x = 600

15x = 600

X = 40

HCF = 40

LCM = 14 X 40 = 560

Other number = 560×40280=80

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Answer 2

Let HCF be a and LCM be b
LCM =4a
b=4a
sum of HCF and LCM =600
a +b=600
a+4a =600
5a=600
a=600/5
a =120

HAD of two number =120
LCM of two number =120 ×4 =480
Other number=HCF×LCM/1st number