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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. - Mathematics

Sum

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.

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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

Concept: Solving Algebraically and Writing the Solution in Set Notation Form
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Selina Concise Maths Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 28 | Page 50
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