Question

lcm of two numbers is 105,Hcf of that two numbers is 1,difference of number is 8 then the sum of numbers is​

Answer 1

Answer:

let one number be x

so, other number is x-8

W.K.T

LCM×HCF=x(x-8)

=>105×1=x²-8x

=>x²-8x-105=0

=>x²-15x+8x-105=0

=>x(x-15)+8(x-15)=0

=>(x-15)(x+8)=0

=>x= -8,15

if x=-8

then other is -16

but -8,-16 HCF is not 1

so, x≠-8

so, x=15

then other is 7