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

Pre-calculus, Give all solutions between o degree and 360 degree for sin x=...

Give all solutions between o degree and 360 degree for sin x=3/2

Shortcomng methods for teaching hto in maths, 1.What are the strengths and ...

1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia

2(sin 6+cos6) - 3(sin4+cos4)+1 = 0, 2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?...

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

Correlation coefficient, Correlation coefficient - These are numerical...

Correlation coefficient - These are numerical measures of the correlations existing between the independent and the dependent variables - These are better measures of corre

Complex fractions, A small airplane used 5and2over3 gallons of fuel to fly ...

A small airplane used 5and2over3 gallons of fuel to fly a 2 hour trip.how many gallons were used each hour

How many multiplication required to calculate matrix product, (a) Assume th...

(a) Assume that A is a m 1 ×m 2 matrix and B is a m 2 ×m 3 matrix. How many multiplications are required to calculate the matrix product AB? (b) Given that A 1 is a 20 × 50 m

Time and Work, A and B can finish a piece of work in 16 days and 12 days re...

A and B can finish a piece of work in 16 days and 12 days respectively.A started a work and worked at it for 2 days.He was then joined by B.Find the total time taken to finish the

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