Question

The LCM of two numbers is 11 times their HCF. The sum of LCM and HCF is 600. If one number is 250, then find the other number​

Answer 1

Answer:

ONE NO. IS 280

LET HCF BE X

so LCM = 14X

SUM OF HCF AND LCM = 600

X + 14X = 600

15X = 600

\bold{x = 40}x=40

SO HCF = 40

LCM = 14×40 => 560

TO FIND OTHER NO. :-

first no. = 280

second no. = y

WE KNOW THAT

\bold{hcf \times lcm \: = \: product \: of \: two \: no.}hcf×lcm=productoftwono.

40 × 560 = 280 × y

22400 = 280y

y = 22400/280

\bold{y = 80}y=80