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

GIVEN: HCF+LCM= 600, ONE NUMBER= 280

Let the HCF= X

LCM= 14X

HCF+LCM= 600

X+ 14X=600

15X= 600

X= 600/15

X= 40

HCF= 40

LCM = 14X= 14× 40= 560

HCF×LCM= 1ST NUMBER × 2ND NUMBER

40× 560= 280× 2ND NUMBER

2ND NUMBER= (40×560) /280

2ND NUMBER= 40×2

2ND NUMBER= 80


Hope this will help you....

Answer 2

HI...

GIVEN:-
ONE NO. IS 280

LET HCF BE X
so LCM = 14X

SUM OF HCF AND LCM = 600
X + 14X = 600
15X = 600

$\bold{x = 40}$

SO HCF = 40
LCM = 14×40 => 560

TO FIND OTHER NO. :-

first no. = 280
second no. = y

WE KNOW THAT

$\bold{hcf \times lcm \: = \: product \: of \: two \: no.}$
40 × 560 = 280 × y

22400 = 280y
y = 22400/280

$\bold{y = 80}$