Question

Find the two numbers whose L. C. M. is 1188 and H. C. F. is 9
Data inadequate
9, 27
36, 99
27, 396​

Answer 1

given:

LCM(a,b)=1188

HCF(a,b)=9

formula:

lcm(a,b) × hcf(a,b)=a×b

put the given values in given formula

1188 × 9 = a×b

10692= a×b

let put a= 9 and b=27 and check if it satisfy the equation

10692=(9)×(27)

10692 is not equal to 243

now put a = 36 and b= 99

10692= (36)×(99)

10692 is not equal to 3564

now put a= 27 and b = 396

10692= (27)×(396)

10692=10692

hence, ( 27,396 ) are the two numbers

Hope this will help you :)