The HCF and LCM of two numbers are 15 and 270 respectively. One number is 30 , find the other .
Answers
Step-by-step explanation:
HCF of two numbers equal to 15
LCM of two numbers equals to 270
one number is 30
we know that,
LCM x HCF=product of two numbers
15 x 270 = 30 x other number
15 x 270/30 = other number
15 x 9 = other number
135 = other number
I hope this will help
Given:
The HCF and LCM of the two numbers are 15 and 270 respectively. One of the numbers is 270.
To Find:
The other number.
Solution:
The given problem can be solved using the concepts of LCM and HCF.
1. The HCF and LCM are 15 and 270 respectively.
2. According to the properties of LCM and HCF, the product of two numbers is equal to the product of their HCF and LCM.
=> HCF x LCM = Product of the two numbers.
3. Using the formula mentioned above the unknown number can be found.
=> 15 x 270 = 30 x (unknown number),
=> (15 x 270)/30 = unknown number,
=> (15 x 27)/3 = unknown number,
=> Unknown number = 15 x 9,
=> Unknown number = 135.
Therefore, the value of the unknown number is 135.