1.

The HCF of two natural numbers is 12. If the sum of the two numbers is 72, then the larger of the two numbers is Options124824none of these​

Answer»

HCF=12, LCM=72One 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.


Discussion

No Comment Found

Related InterviewSolutions