Question

Q-) The hcf of two numbers is 23 and their lcm is 1449 . If one of the numbers is 161 . Find the other .
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Answer 1

Answer:

207

Step-by-step explanation:

$lcm \times hcf \div one \: number$

Answer 2

Given:-

• HCF of two numbers is 23.
• LCM is 161.
• One of the number is 161.

To find:-

• The other number

Required Formula:-

• x × y = HCF × LCM

Solution:-

• Let the numbers be x and y.

Where,

• x = 161
• y = other number

Then,

$\\ :\implies\sf{161 \times y = 23 \times 1449} \\ \\ :\implies\sf{161 \times y = 33327} \\ \\ :\implies\sf{y = \frac{ \cancel{33327}}{ \cancel{161}}} \\ \\ :\implies \underbrace{\boxed{\bf{y = 207}}} \: \blue{ \bigstar}$

• Hence,The other number = y = 207.

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