Question

the hcf and lcm of two numbers are 12 and 72 respectively . if the sum of two numbers is 60 . then one of the numbner will be

Answer 1

Answer:

answer will 24

Step-by-step explanation:

Given, HCF=12, LCM=72

One number =x, Other number =60−x

∴ Product of the two numbers = HCF × LCM

⇒x(60−x)=12×72

⇒x

2

−60x+864=0

⇒x

2

−36x−24x+864=0

⇒x(x−36)−24(x−36)=0

⇒(x−36)(x−24)=0

⇒x=36 or 24

∴ One of the number is 24.