Math, asked by velayatuaniruthuda, 4 months ago

The HCF and the LCM of two natural numbers, m and n, are 1 and 15 respectively. Find the value of m+n.

Answers

Answered by s14648anisha00929
6

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.

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