The HCF and LCM of two numbers are 6 and 120 respectively. If one of the numbers is 24, find the other WITH PROPER SOLUTIONS
Answers
Answer:
Here's Ur answer mate ✌✌
>>As we know
product of two no. = product of their LCM and HCF
>> let the other no. be x
>>So,
120 * 6 = 24x
or; 720 = 24x
or; x = 30.
therefore the other no. is 30.
Step-by-step explanation:
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Given:
HCF=6
LCM=120
One number=24
To find:
The other number
Solution:
The required value of the number is 30.
We can calculate the number by dividing the HCF and LCM's product by the one number given.
We know that by multiplying the two numbers we can obtain the product of the HCF and the LCM.
So, the numbers' HCF×numbers' LCM=one number×other number
Let the other number be A.
Using the values, we get
6×120=24×A
On multiplying and dividing,
6×120/24=A
6×10/2=A
6×5=A
30=A
Therefore, the required value of the number is 30.