Question

the HCF of two number is 5 and their LCM is 280 if one of them is 35 find the other number​

Answer 1

Answer:

HCF= 5

LCM= 280

One of the number=35

Step-by-step explanation:

We know that

HCF *LCM = Product of two numbers

Let the other number be=x

5*280= 35* x

5*280/35=x

40=x

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Answer 2

The other number is 40.

Given: The HCF of the two numbers is = 5

The LCM of the two numbers is = 280

One of the numbers = 35

To Find: The other number.

Solution:

• We know that the product of LCM and HCF of two numbers is equal to the actual product of the two numbers.

               LCM x HCF = n1 x n2                                        …(1)                        

Where n1 and n2 are two positive numbers.

Coming to the numerical, we are given that;

The HCF of the two numbers is = 5

The LCM of the two numbers is = 280

One of the numbers = 35

Let the other number be ‘n’

So, putting the respective values in (1), we get;

                     LCM x HCF = n1 x n2                                                        

                ⇒  280 x 5  =  35 x n

                ⇒  N   =  1400 / 35

                ⇒  N   =   40

Hence, the other number is 40.

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