1.

The L.C.M to two numbers is 14 times their HCF. The sum of the L.C.M and H.C.F is 600. If one number is 280, then find the other number.

Answer»

ANSWER:

LET HCF=x

then LCM=14x

x+14x=600

15x=600

x=600÷15

x=40

and 14x=14×40=560

HCF=40

LCM=560

again,

HCF×LCM=280×another number

40×560=280×another number

another number=40×560)/280

another number=80



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