Question

HCF and LCM of two numbers is 9 and 108 respectively. If one of the number is 36, then find the other number.

Answer 1

Answer: Other number is 27

Solution:

We know that, if a and b are two numbers
and LCM(a,b) and HCF(a,b)


$LCM(a,b) \times HCF(a,b) = a \times b$

it is given that

LCM = 108

HCF = 9

a = 36

b = ?

put all these values in the formula discussed above

$108 \times 9 = 36 \times b \\ \\ b = \frac{108 \times 9}{36} \\ \\ \\ b = \frac{108}{4} \\ \\ b = 27$
so another number is 27.

Hope it helps you.

Answer 2

lcm = 108

hcf = 9

a = 36

b = ?

put these in formula

108 × 9 = 36 × ?

b = 108 × 9 / 36

b = 108 / 4

b = 27

the another number is 27