ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

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 Atmost 20. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

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 almost 20.

Solution

Let the required integers be x, x + 1 and x + 2.

According to the given statement,

`1/3 x  + 1/4 (x + 1) + 1/5 (x + 2) <= 20`

`(20x + 15x + 15 + 12x + 24)/60 <= 20`

`47x + 39 <= 1200`

`47 xx <= 1161`

`x  <= 24.702`

Thus the largest values of the positive interger x is 24,

Hence the required integer are 24, 25 and 26

  Is there an error in this question or solution?

APPEARS IN

Solution 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 Atmost 20. Concept: Solving Algebraically and Writing the Solution in Set Notation Form.
S
View in app×