Question

2. H.C.F. and L.C.M. of two numbers is 12 and 72 and one of the numbers is 36.
Find the other number.​

Answer 1

Answer:

HCF × LCM= Product of numbers

Explanation:

so,

12×72=36×y

y=72×12/36

y=72×1/3

y=24

hence num= 24

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Answer 2

Your Question:

Given:-

• H.C.F. and L.C.M. of two numbers is 12 and 72 respectively.
• One of the number is 36.

To find:-

• The other Number

Solution:-

We know that

$\tt \bf \green{HCF\times LCM = a\times b}$

where a and b are the numbers

So putting the values of LCM and HCF in the above the equation

$\tt 72 \times 12 = 36 \times b \\\\ \tt \Rightarrow b= \dfrac{72 \times 12 }{36}\\\\ \tt \Rightarrow b = \dfrac{\cancel{72}\times 12}{\cancel{36}} \\\\ \tt \Rightarrow b=24$

So, the other number is 24.