Question

The HCF and LCM of two numbers are 9 and 360 if obe number is 45 find the other number

Answer 1

Explanation:

H.C.F*L.C.M= Product of two number

H.C.F=9

L.C.M=360

first number =45

suppose second number =x

therefore 9*360=45*x

so x=9*360/45

x=72ans

Answer 2

Answer:

Let one number be a = 45 and

other number is b

Given :

HCF = (a,b) = 9

LCM = (a,b) = 360

One number is a = 45

as, we know that

HCF × LCM = Product of two numbers

=> 9 × 360 = b × 45

=> 3240 = 45b

=> 3240 ÷ 45 = b

=> 72 = b

therefore b is the another number whose value is 72

______________________________

Verification :

HCF × LCM = 9 × 360 = 3240

Product of two numbers = 45 × 72 = 3240

HCF × LCM = Product of two numbers

Hence Verified