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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


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

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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