Question

The hcf and lcm of two numbers are 25 and 5525 respectively. If one of the number is 325 , find the other number .

Answer 1

Answer:

425

Step-by-step explanation:

Let the 2 numbers be x and y.

LCM X  HCF= x X y

5525 X 25 = 325 X y

y= 5525 X 25/ 325

y= 425

Answer 2

Other Number is 425

$$\rule{110}1$$

$$\huge\sf\blue{Given}$$

✭ HCF and LCM of 2 Numbers is 25 and 5525

✭ One Number is 325

$$\rule{110}1$$

$$\huge\sf\gray{To \:Find}$$

◈ The other Number?

$$\rule{110}1$$

$$\huge\sf\purple{Steps}$$

Let the other Number be x

Here we know that,

$$\bullet\:\underline{\sf{Product \ Of \ 2 \ Numbers = LCM \times HCF}}$$

Substituting the given values,

➝ $$\sf 325 \times x =25 \times 5525$$

➝ $$\sf 325x = 138125$$

➝ $$\sf x = \dfrac{138125}{325}$$

➝ $$\sf\orange{x = 425}$$

$$\rule{170}3$$