Question

If the HCF and LCM of two numbers are 14 and 252 respectively, and one of the numbers is 28, find the other number.

a) 18
b) 36
c) 72
d) 126

Answer 1

To find the other number, we can use the formula: Product of two numbers = HCF * LCM. Given that one of the numbers is 28, we can substitute this value in the formula and solve for the other number. Dividing both sides of the equation by 28 gives the other number as 126. Therefore, the correct answer is d) 126.

Step-by-step explanation:

To find the other number, we can use the formula:
Product of two numbers = HCF * LCM

Given that one of the numbers is 28, we can substitute this value in the formula and solve for the other number:

28 * other number = 14 * 252

Dividing both sides of the equation by 28 gives:

other number = 14 * 252 / 28

Simplifying the expression gives the other number as 126. Therefore, the correct answer is d) 126.