High School

The H.C.F. of two numbers is 18, and their L.C.M. is 270. If one of those numbers is 90, find the other.

A. 54
B. 540
C. 150
D. 60

Answer :

Final answer:

The other number is 54.

Explanation:

To find the other number, we can use the formula:

LCM × HCF = product of the two numbers.

Given that HCF is 18, LCM is 270, and one of the numbers is 90, we can substitute these values into the formula: 270 × 18 = 90 × other number. We can solve for the other number by dividing both sides of the equation by 90: other number = (270 × 18) / 90 = 54.

Therefore, the other number is 54, so the correct option is 1) 54.

Learn more about HCF and LCM here:

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