the HCF and LCM of two numbers are 12 and 5040 , respectively . if one of the numbers is 144 , find the other number?
Answers
Answered by
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✬ Other Number = 420 ✬
Step-by-step explanation:
Given:
HCF and LCM of two numbers are 12 and 5040.
One number is 144.
To Find:
What is other number ?
Solution: Let the other number be x.
As we know that
★ Product of two numbers = (HCF)(LCM) ★
A/q
HCF = 12
LCM = 5040
One number = x
⟹ x × 144 = 12 × 5040
⟹ 144x = 60480
⟹ x = 60480/144
⟹ x = 420
Hence, the other number is x = 420
________________________
★ Verification ★
➟ Product of two numbers = HCF × LCM
➟ 420 × 144 = 12 × 5040
➟ 60,480 = 60,480
Answered by
6
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