Question

HCF and LCM of 2 numbers is 10 and 60 respectively if one of the numbers is 20 . What is the other number .

Answer 1

Answer:

30

Step-by-step explanation:

HCF = 10

LCM = 60

One number = 20

Other Number = ?  [Let it be 'a']

LCM x HCF = Product of numbers

=> 10 x 60 = 20a

=> a = 600/20 = 30

Answer 2

➣ Answer

• Second number = 30.

➣ Given

• H.C.F and L.C.M. of two numbers = 10 and 60 respectively. One of the number is 20.

➣ To Find

• The second number.

➣ Step By Step Explanation

Given that the H.C.F and L.C.M. of two numbers is 10 and 60 respectively. One of the number is 20.

We need to find the second number.

So let's do it !!

➵ Assumption

Let us consider the second number be x.

➵ Formula

$\dag\underline{\boxed{ \tt{ \color{navy}{H.C.F \times L.C.M. = 1st \: Number \times 2nd \: Number}}}}$

➵ Substituting the values

Let's substitute the values in the above formula to find the value of second number.

$:\longmapsto\tt10 \times 60 = 20 \times x \\ \\:\longmapsto\tt 600 = 20x \\ \\ :\longmapsto\tt \cancel\cfrac{600}{20} = x \\ \\ :\longmapsto{\bf{\color{purple}{30 = x}}}$

Therefore, second number = 30.

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