Question : The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of the four numbers?
Option 1: 17
Option 2: 14
Option 3: 21
Option 4: 24
Correct Answer: 14
Solution : Let the 1 st number be 'x'. 2 nd number is 'x + 1'. 3 rd number is 'x + 2'. And 4 th number is 'x + 3'. According to the question, 1 st number + 2 nd number = 4 th number. ⇒ x + x + 1 = x + 3 ⇒ x = 2 Putting the value of x we get the numbers 2, 3, 4, and 5. Their LCM is 60 which satisfies the condition in the question. The sum of the four numbers = 2 + 3 + 4 + 5 = 14 Hence, the correct answer is 14.
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