Question

Two natural numbers whose difference is 66 and the LCM is 360, are
(a) 180 and 114 (b)90 and 24
(c)120 and 54 (d) 130 and 64

Answer 1

Answer:

option (b) is correct

Step-by-step explanation:

Let the two  numbers be x and x+66.

Since, the LCM is 360, there must be 5,2 and 3 as the prime factors of the two numbers.

So, one pair is 24 & 90, because 90−24=66.

Also, 24=2×2×2×3

90=2×3×3×5

∴ LCM=2×2×2×3×3×5=360.

So, the numbers are 24 and 90.