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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. - ICSE Class 10 - Mathematics

ConceptSolving Algebraically and Writing the Solution in Set Notation Form

#### 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.
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