2.
The L.C.M. and H.C.F. of two numbers are 80 and 4 respectively. If one number is 16, find the other number
Answers
Answer:
20
Step-by-step explanation:
we know that:-
LCM×HCF=Product of two given numbers
Let other number be x
80×4=16×x
x=80×4/16
x=20
I hope it will be helpful to you
SOLUTION
GIVEN
- The LCM and HCF of two numbers are 80 and 4 respectively.
- One number is 16
TO DETERMINE
The other number
CONCEPT TO BE IMPLEMENTED
HCF :
For the given two or more numbers HCF is the greatest number that divides each of the numbers
LCM :
For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers
EVALUATION
Here it is given that LCM and HCF of two numbers are 80 and 4 respectively
One number is 16
We know that
LCM × HCF = Product of the numbers
⇒ 80 × 4 = 16 × The other number
⇒ 16 × The other number = 320
⇒ The other number = 20
FINAL ANSWER
The other number = 20
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