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The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725. What is the other number?
- a)5
- b)290
- c)115
- d)435
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The HCF of two numbers is 145 and their LCM is 2175. If one of the num...
HCF of two numbers = 145
LCM of two numbers = 2175
Let one of the two numbers be 725 and other be x.
Using the formula, product of two numbers = HCF x LCM
we conclude that
725 x x= 145 x 2175
x = 145 x2175/ 725
= 435
Hence, the other number is 435.
Most Upvoted Answer
The HCF of two numbers is 145 and their LCM is 2175. If one of the num...
Given:
HCF of two numbers = 145
LCM of two numbers = 2175
One of the numbers = 725
To find:
The other number
Solution:
1. Let's assume the other number to be x.
Finding the HCF:
2. HCF is the highest common factor of two numbers. It is the largest number that divides both numbers without leaving a remainder.
3. The HCF of two numbers can be found by dividing the larger number by the smaller number and taking the remainder.
4. In this case, the larger number is 725 and the smaller number is x.
5. Dividing 725 by x and taking the remainder should give us the HCF, which is 145.
725 ÷ x = 145
Simplifying the equation, we get:
x = 5
Finding the LCM:
6. LCM is the least common multiple of two numbers. It is the smallest number that is divisible by both numbers.
7. The LCM of two numbers can be found by multiplying the numbers and dividing it by their HCF.
8. In this case, one of the numbers is 725 and the HCF is 145.
9. Multiplying 725 and x and dividing it by 145 should give us the LCM, which is 2175.
(725 × x) ÷ 145 = 2175
Simplifying the equation, we get:
725x = 145 × 2175
725x = 315375
Dividing both sides of the equation by 725, we get:
x = 435
Therefore, the other number is 435.
HCF of two numbers = 145
LCM of two numbers = 2175
One of the numbers = 725
To find:
The other number
Solution:
1. Let's assume the other number to be x.
Finding the HCF:
2. HCF is the highest common factor of two numbers. It is the largest number that divides both numbers without leaving a remainder.
3. The HCF of two numbers can be found by dividing the larger number by the smaller number and taking the remainder.
4. In this case, the larger number is 725 and the smaller number is x.
5. Dividing 725 by x and taking the remainder should give us the HCF, which is 145.
725 ÷ x = 145
Simplifying the equation, we get:
x = 5
Finding the LCM:
6. LCM is the least common multiple of two numbers. It is the smallest number that is divisible by both numbers.
7. The LCM of two numbers can be found by multiplying the numbers and dividing it by their HCF.
8. In this case, one of the numbers is 725 and the HCF is 145.
9. Multiplying 725 and x and dividing it by 145 should give us the LCM, which is 2175.
(725 × x) ÷ 145 = 2175
Simplifying the equation, we get:
725x = 145 × 2175
725x = 315375
Dividing both sides of the equation by 725, we get:
x = 435
Therefore, the other number is 435.
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Community Answer
The HCF of two numbers is 145 and their LCM is 2175. If one of the num...
LCM = hcf ÷ a ×b
2175 =145÷725×b is farmula se anwer aa ye ga
2175 =145÷725×b is farmula se anwer aa ye ga
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