Question

Please Help me to do these both questions

Answer 1

Answer:

11. 72

12. Either 10 or 27

Step-by-step explanation:

11. Let the digits be x,y

(x+y) * 8 = 10*x + y ,  8x + 8y = 10x * y ,    2x = 7y

(x-y) * 14 + 2 = 10*x + y , 14x - 14y + 2 = 10 x + y ,   4x + 2 = 15 y

4x + 2 = 15 *(2/7)x = 30x / 7

(30/7 -4)x = 2

2x/7 = 2,  x = 7

2*7 = 7 y ,  y = 2

The number is 72

12. Let the number of articles produced be 'x'

Then cost of production of one article = 74 - 2x

(74 - 2x) * x = 540

74x - 2x² = 540

2x² - 74x + 540 = 0

x² - 37 + 270 = 0

(x-27) * (x-10) = 0

x=27 or x = 10

ie, The number of articles produced can be either 10 or 27