Find the number of students in the class, Mathematics

Assignment Help:

Students are made to stand in rows. If one student is extra in a row there would be 2 rows less. If one student is less in a row there would be 3 rows more. Find the number of students in the class.

Ans: No. of rows be y

Let the number of students be x

Number of students in the class will be = xy

One student extra, 2 rows less

(x + 1) (y - 2) = xy

xy - 2x + y -2 = xy

-(-2x + y -2) = 0

+2x - y = -2 -------------- (1)

One student less, three more rows

(x - 1) (y + 3) = xy

xy + 3x - y -3 = xy

3x - y = 3 ---------------------(2) From (1) & (2)

2x - y = -2 X 3

3x - y = 3 X -2

Solve it , to get ... y = 12 and x = 5

∴ Number of student = xy

= 12 X 5

= 60 students


Related Discussions:- Find the number of students in the class

How to converting decimals to percents, How to Converting Decimals to Perce...

How to Converting Decimals to Percents ? To convert a decimal to a percent: Move the decimal point two decimal places to the right. Place a percent sign after the resulting

Example for introducing counting, Four-year-old Mariamma was reciting numbe...

Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul

Binomial theorem, use the expansion of (1-x)^7 to find the value of 1.998^7...

use the expansion of (1-x)^7 to find the value of 1.998^7 correct to five significant figures

Limit properties, Limit Properties :  The time has almost come for us t...

Limit Properties :  The time has almost come for us to in fact compute some limits.  Though, before we do that we will require some properties of limits which will make our lif

+, what is 2+2=

what is 2+2=

Describe graphing equations with a positive slope, Describe Graphing Equati...

Describe Graphing Equations with a Positive Slope? There are 3 steps to graphing a linear equation: 1. Identify and plot the y-intercept. 2. Determine the slope. Use the slope

Permutations and combinations, How many arrangements can be made from the l...

How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?

Systems of equations revisited, Systems of Equations Revisited We requ...

Systems of Equations Revisited We require doing a quick revisit of systems of equations. Let's establish with a general system of equations. a 11 x 1 + a 12 x 2 +......

Absolute convergence - sequences and series, Absolute Convergence Whil...

Absolute Convergence While we first talked about series convergence we in brief mentioned a stronger type of convergence but did not do anything with it as we didn't have any

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd