The LCM and HCF of two positive numbers are 450 and 50 respectively. If one of the numbers is 125, what is the other number?Options 90 180 200 225
Question
The LCM and HCF of two positive numbers are 450 and 50 respectively. If one of the numbers is 125, what is the other number?Options 90 180 200 225
Solution
The relationship between two numbers, their Least Common Multiple (LCM) and Highest Common Factor (HCF) is given by the formula:
Number1 * Number2 = LCM * HCF
We know the LCM (450), the HCF (50), and one of the numbers (125). We can substitute these values into the formula to find the other number.
So, 125 * Number2 = 450 * 50
To find Number2, we divide both sides of the equation by 125:
Number2 = (450 * 50) / 125
Number2 = 180
So, the other number is 180.
Similar Questions
The product of 2 numbers is 6750 and their LCM is 450. If difference between the numbers is equal to their HCF, then find the smaller number
The LCM of two numbers is 360 and their HCF is 15. One of the numbers is 45. The other is
LCM and HCF of two numbers are 120 and 4.If one of the number is 40 ,what will be the second number?
Select the correct answerIf the LCM and HCF of two numbers are equal, then the numbers must be Options Prime NumbersEqualCo- prime NumbersComposite Numbers
he LCM of two numbers is 360 and their HCF is 15. One of the numbers is 45. The other is Options :406080120
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.