Question

The hcf and lcm of two numbers 9 and 360 respectively if one number is 45 find the other number​

Answer 1

AnswEr :

⠀

• The other number = 72.

⠀

Step-by-step explanation :

We are given with the HCF and LCM of two numbers that is and one number, that is,

• HCF = 9.

• LCM = 360.

• One number = 45.

We have to find out the other number.

⠀________________________

Now,

☯ Let us consider that, the other number is "x".

We know that, if we are given with the HCF, LCM and one number then we have the required formula, that is,

⠀

⠀

→ One number × Other number = HCF × LCM.

⠀

⠀

By using this formula and substituting all the given values in the formula, we get,

→ 45 × x = 9 × 360

→ 45x = 9 × 360

→ 45x = 3240

→ x = 3240/45

→ x = 72

⠀

Hence, the other number is 72.

⠀

Verification :

One number × Other number = HCF × LCM.

→ 45 × 72 = 9 × 360

→ 3240 = 9 × 360

→ 3240 = 3240

Clearly, LHS = RHS.

Here both the conditions satisfy, so our answer is correct$.$

Hence Verified !

Answer 2

Answer :-

Given :-

• HCF of two numbers = 9
• LCM of two numbers = 360
• One of the numbers = 45

To Find :-

• Other number, let it be x

Solution :-

We know that,

Product of two numbers = HCF × LCM

➩ $\sf x \times 45 = 9 \times 360$

➩ $\sf 45x = 3240$

➩ $\sf x = \frac{3240}{45}$

➩ $\sf x = 72$

Required number = 72