Question

Alfred bought 'x' candies for 'y' Rupees, where 'x' and 'y' are integers. If he had bought 10 more candies he would have got all for Rs. 2 and saved 80 paisa a dozen.
What are the respective vales of 'x' and 'y'?
O 5.1
4,2
O 3,2
O 6,1
O 1,5
None of These

Answer 1

Answer:

negative +positive are mixed numbers are called integers

Answer 2

Answer: x = 5

               y = 1

Step-by-step explanation:

No. of candies = x

Money spent on x candies = y

Cost of (a + 10) candies = Rs. 2

 

x, y are integer and y< 2 → y = 1

According to the condition,

$(\frac{100}{x}) - (\frac{200}{x+10} ) = \frac{80}{12} \\12(100x + 1000 - 200x)=80 (x)(x+10)\\12000 - 100x = 80x^{2} + 800x\\80x^{2} +900x-12000 = 0\\4x^{2} + 45x - 600 =0$

Solving it we get x = 5