Question

The HCF of two numbers is 24. The number which can be their LCM is ______. A. 84 C. 128

B. 120 D. 148​

Answer 1

Answer:

120

Step-by-step explanation:

Rule is that LCM must be divisible by HCF. Only option divisible by 24 is 120.

Answer 2

$\underline\bold \red{ANSWER}$

Let the two numbers be x and y,

HCF = 24

LCM = 1344

HCFX LCM = xxy

24x1344 = xy

xy=32256

(x-y) = 80

x = 80+y

(80+y)xy=32256

y^2 +80y-32256 = 0

y^2 +224y-144y-32256 =0

y(y+224)-144(y+224) =0

y=114&-224

x = 80+114

X = 194

x+y=194+80

=274