[latexpage]

# Algebra

The equation 11x + 67y = 133 has

1. two integral solutions for 0 < x < 50
2. no integral solutions for 10 < y < 20
3. an integral solution for 100 < x < 200
4. no integral solutions for y < 0

### Solve our previous ‘questions of the day’

1. Abhishek Tandon

Raman Sir,
While solving again I got it where I went wrong. Please correct me if I am wrong.
I tried this way
11x+67y=133

(x,y):……..(-61,12), (6,1), (6+67,1-11),….
(x,y): (6,1), (73,-10), (130,-21), (197,-32)…..

From above values I eliminated options
Option 1: eliminated because there is only one integral solution in that x range

Option2: eliminated because for y=12 x=-61 hence it is in range so there is an integral solution

Option 3: satisfying because there are 2 integral solutions in that range

Option 4: eliminated because there are many integral solutions for y<0

• Nice instruction, thanks

By LouisHayes , 3 months ago

• In a test match in cricket, the scores of Rohit and Vir...

By nhuadovan , 12 months ago

• The 111th digit of the series 149162536496481........ i...

By nhuadovan , 12 months ago

• how many perfect squares of natural numbers between 300...

By nhuadovan , 12 months ago

• Find the number of ways to distribute 2n different ball...

By nhuadovan , 12 months ago

• A cube is divided into two parts by a plane passing thr...

By nhuadovan , 12 months ago

• @utkarsh-garg25 how

By traciblack , 12 months ago

• Thank you for sharing the list ... i will try to read o...

By Anonymous , 2 years ago

• The collection of the questions are really great it wil...

By Anonymous , 2 years ago

• Mark bought 45 grinders for Rs. 2215, while carrying h...

By Anonymous , 2 years ago

• Great thread ,i tried to do these but not able to do..t...

By Anonymous , 2 years ago