l c m of two number is 280 and their HCF is 14 then the two numbers are
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let the no is x
l.c.m +h.c.f = 600
14h.c.f+h.c.f= 600
15h.c.f=600
h.c.f=600/15
h.c.f =40
l.c.m =40× 280
l.c.m=560
since; l.c.m × h.c.f = product of two numbers
560×40=280+x
560×40/280=x
40×2=x
x=80
Answered by
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Answer:
Let the other number be 'x'
Given:LCM + HCF=600
14HCF + HCF=600
15HCF=600
HCF=40
LCM=14 x 40=560
Since HCFxLCM=Product of 2 Numbers
= 40 x 560 = 280 x X
x = 40 x 560
_______
280
x=40 x 2
x=80
Hence The Other Number is 80
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