Find three consecutive largest positive integers such that the sum of one-third of first, one-fourth of second and one-fifth of third is at most 20.

Open in App

Solution

Let the required integers be x, x + 1 and x + 2.
According to the given statement

$1 third x plus 1 fourth left parenthesis x plus 1 right parenthesis plus 1 fifth left parenthesis x plus 2 right parenthesis less or equal than 20 fraction numerator 20 x plus 15 x plus 15 plus 12 x plus 24 over denominator 60 end fraction less or equal than 20 47 x plus 39 less or equal than 1200 47 x less or equal than 1161 x less or equal than 24.702$

Thus, the largest value of the positive integer x is 24.
Hence, the required integers are 24, 25 and 26

Suggest Corrections

Similar questions

Find the sum of three consecutive largest positive integers such that the sum of one-third of first, one - fourth of second and one -fifth of third is atmost 20.

Q. Find three consecutive odd integers such that the sum of first and third integers is same as the second integer when decreased by

9

Q. Find three smallest consecutive whole numbers such that the difference between one-fourth of the largest and one-fifth of the smallest is at least 3

Q. Find three consecutive odd integers such that the sum of the first is two less than the second, and three more than the third is

70

Q. Find three consecutive even integers such that the sum of first two integers is same as the sum of third integer and

6

Join BYJU'S Learning Program

Find three consecutive largest positive integers such that the sum of one-third of first, one-fourth of second and one-fifth of third is at most 20.

Let the required integers be x, x + 1 and x + 2. According to the given statement Thus, the largest value of the positive integer x is 24. Hence, the required integers are 24, 25 and 26