Bissoy.com
Doctors Medicines MCQs Q&A

If the product of three consecutive integers is 210, then the sum of integers is .

If the product of three consecutive integers is 210, then the sum of integers is . Correct Answer 18

Let the three consecutive integers be x, x+1, and x+2.According to the question, their product is 210. Therefore, we can write:x(x+1)(x+2) = 210Expanding the left side, we get:x3 + 3x2 + 2x - 210 = 0We can factorize this equation as:(x-5)(x2 + 8x + 42) = 0The quadratic factor on the right side has no real roots. Therefore, the only possible value of x is 5.Hence, the three consecutive integers are 5, 6 and 7.The sum of these integers is:5 + 6 + 7 = 18Therefore, the sum of integers is 18.

Related Questions

If the product of three consecutive integers is 210, then the sum of the two smaller integers is -
If the product of three consecutive integers is 210, then the sum of integers is .
If the product of three consecutive integers is 210, then the sum of integers is
Seven consecutive number starting from x which is an even number. Out of these seven if the difference between the sum of four consecutive odd numbers and the sum of three consecutive even numbers is 12. Find the average of next five consecutive odd numbers.
If the sum of 3 consecutive integers is 210, then the sum of the two smaller integers is :
If the sum of five consecutive positive integers is A, then the sum of the next five consecutive integers in terms of A is :
In ascending order, three consecutive integers are placed in a way that sum of last two integers is 13 more than the first integer. What are three possible integers?
Sum of 4 consecutive even numbers is greater than three consecutive odd numbers by 81 . If the sum of the least odd and even numbers is 59 then find the sum of largest of odd and even numbers is 59 then find the sum of largest odd and even numbers.
Consider the following statements : 1. The sum of 5 consecutive integers can be 100. 2 The product of three consecutive natural numbers can be equal to their sum. Which of the above statements is/are correct ? 
Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?