The product of HCF and LCM of two numbers is 2535. The smaller number is 60% of the larger number. Find the difference of between the numbers.a)28b)27c)24d)26Correct answer is option 'D'. Can you explain this answer?

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The product of HCF and LCM of two numbers is 2535. The smaller number is 60% of the larger number. Find the difference of between the numbers.

a)
28
b)
27
c)
24
d)
26

Correct answer is option 'D'. Can you explain this answer?

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The product of HCF and LCM of two numbers is 2535. The smaller number ...

Let the first number be 5a.

So, the second number = 60% of 5a = 3/5 × 5a = 3a

HCF × LCM = 1^st no. × 2^nd no.

⇒ 2535 = 5a × 3a

⇒ 2535 = 15a²

⇒ a²= 169

⇒ a = 13

∴ Difference between the numbers = 5a - 3a = 2a = 2 × 13 = 26

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The product of HCF and LCM of two numbers is 2535. The smaller number is 60% of the larger number. Find the difference of between the numbers.a)28b)27c)24d)26Correct answer is option 'D'. Can you explain this answer?

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