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The HCF of two numbers is 23 and their L...

The `HCF` of two numbers is `23` and their `LCM` is `1449.` If one of the number is `161`, find the other .

A

`205`

B

`208`

C

`207`

D

`209`

Text Solution

Verified by Experts

The correct Answer is:
C
For two numbers `a` and `b,` we know that
` ( axx b)` = ( HCF (a ,b) ` xx ` ( LCM (a,b)) .
Here a '= 161 , HCF = w23 and LCM = 1449.
And we have to find b.
` ( 161 xxb) = ( 23xx 1449) Rightarrow b = ((23 xx 1449))/161 = 207`
Hence , the other number is `207. `
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