A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one student he found he was short of 25 students. Find the number of students.

Ans: Let the side of the square be x.

No. of students = x² + 24

New side = x + 1

No. of students = (x + 1)2 - 25

APQ ⇒ x² + 24 = (x + 1)2 - 25

⇒ x² + 24 = x² + 2 x + 1 - 25

⇒ 2x = 48

⇒ x = 24

∴ side of square = 24

No. of students = 576 + 24

= 600

Posted Date: 4/8/2013 3:31:24 AM | Location : United States

Ask an Expert

Related Discussions:- Find the number of students side of the square, Assignment Help, Ask Question on Find the number of students side of the square, Get Answer, Expert's Help, Find the number of students side of the square Discussions

Write discussion on Find the number of students side of the square
Your posts are moderated

Write your message here..

Related Questions

Relative motion, how to find the minimum distance between any two particles... how to find the minimum distance between any two particles which are in relative motion?

Derivatives to physical systems, Derivatives to Physical Systems: A st... Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p

..Job, Eddie mkes $15.75 per hour. Estimate how much Eddie will make per ye... Eddie mkes $15.75 per hour. Estimate how much Eddie will make per year if he works 40 hours per week and 50 weeks per year.

Perimeter, what is the perimeter of a rhombus what is the perimeter of a rhombus

Describe adding and subtracting fractions in details, Describe Adding and S... Describe Adding and Subtracting Fractions in details? To add or subtract fractions, here are some steps: 1. Find the lowest common denominator (LCD) or any common denominato

Determine the probability, An insurance company/organization takes a keen i... An insurance company/organization takes a keen interest in the age at which a person is insured. Thus a survey conducted on prospective clients indicated that for clients having th

Explanation of rational expression,

Intervals of validity, I've termed this section as Intervals of Validity si... I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems

In the terms of x, The length of Kara's rectangular patio can be expressed ... The length of Kara's rectangular patio can be expressed as 2x - 1 and the width can be expressed as x + 6. In the terms of x, what is the area of her patio? Since the area of a

Inverse cosine, Inverse Cosine : Now see at inverse cosine.  Following is ... Inverse Cosine : Now see at inverse cosine.  Following is the definition for the inverse cosine.                         y = cos -1 x       ⇔ cos y = x                   for