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14. The HCF and LCM of two numbers are 13 and 1989 respectively. W oftis 117, find the other.​

Answer»

GIVEN : The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117.

To FIND : The other NUMBER?

We know that,

\text{Product of two numbers}=HCF\times LCMProduct of two numbers=HCF×LCM

We have given HCF = 13

LCM = 1989

One number is 117

Let the other number be x

Substitute,

\text{Product of two numbers}=HCF\times LCMProduct of two numbers=HCF×LCM

117x=13\times 1989117x=13×1989

x=\frac{13\times 1989}{117}x=

117

13×1989

x=221x=221

Therefore, Other number is 221.



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