The HCF and LCM of two numbers is 84 and 840 respectively. If the first number is 168, find the second one.a)210b)420c)225d)326e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Product of two numbers = HCF * LCM
So 2nd number = 84*840/168

Answer

HCF × LCM = PRODUCT OF TWO NUMBER
84 × 840 = 168 × A
=> A = ( 84 × 840 ) /168 = 420 option ( B )

Answer

HCF (Highest Common Factor) and LCM (Least Common Multiple) are two important concepts in number theory. The HCF is the largest number that divides two given numbers, while the LCM is the smallest number that is divisible by both numbers.

Given that the HCF of two numbers is 84 and the first number is 168, we can find the second number by using the formula: HCF × LCM = Product of the two numbers.

Let's denote the second number as x. So, we have:

84 × 840 = 168 × x

Simplifying this equation, we get:

70560 = 168x

Dividing both sides of the equation by 168, we find:

x = 70560 / 168
x = 420

Therefore, the second number is 420.

Hence, the correct answer is option B) 420.

Answer

Yes

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