LCM of two number x and y is 204 times of their HCF. If their HCF is 12 and the difference between the number is 60, then the numbers are?
Answer & explanation
Correct answer: option 1
a and b are coprime factor of two numbers.
⇒ [LCM = HCF × (ab)]
⇒ LCM = HCF × 204
⇒ ab = 204
Now, HCF = 12 and Numbers are 12a and 12b.
ATQ,
12a - 12b = 60
a - b = 5
We can conclude here: a = 17 & b = 12 [17 × 12 = 204 & 17 - 12 = 5]
Therefore, Numbers are ⇒ 17 × 12, 12 × 12
⇒ 204, 144