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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.
- A28
- B27
- C24
- D26
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CCommunity
Let the first number be 5a.
So, the second number = 60% of 5a = 3/5 × 5a = 3a
HCF × LCM = 1st no. × 2nd no.
⇒ 2535 = 5a × 3a
⇒ 2535 = 15a2
⇒ a2 = 169
⇒ a = 13
∴ Difference between the numbers = 5a - 3a = 2a = 2 × 13 = 26
So, the second number = 60% of 5a = 3/5 × 5a = 3a
HCF × LCM = 1st no. × 2nd no.
⇒ 2535 = 5a × 3a
⇒ 2535 = 15a2
⇒ a2 = 169
⇒ a = 13
∴ Difference between the numbers = 5a - 3a = 2a = 2 × 13 = 26