Question

The lcm of two numbers is 14 times their hcf. the sum of lcm and hcf is 600. if one number is 280,then find other number​

Answer 1

Answer:

let the HCF of 2 numbers be X

given:

LCM of 2 numbers=14x

sum of LCM and HCF =600

14x+X=600

15x=600

X=40

HCF of 2 numbers=40

LCM of 2 numbers=14×40=560

we know that,

product of two numbers=HCF×LCM

280×another number=40×560

another number=(40×560)/280

=80