Question

find the greatest integer which is such that if 7 is added to its double the resulting number become greater than three times the integer

Answer 1

Let the integer be a

According to question

(2a + 7) > 3a
______________

On putting a= 1,

2 + 7 > 3

=> 9 > 3
______________

On putting a = 2,

4 + 7 > 6

=> 11 > 6
______________

On putting a = 3,

6 + 7 > 9

=> 13 > 9
______________

On putting a = 4,

8 + 7 > 12

=> 15 > 12
_____________

On putting a = 5,

10 + 7 > 15

=> 17 > 15
_____________

On putting a = 6,

12 + 7 > 18

=> 19 > 18
_____________

On putting a = 7,

14 + 7 = 21

=> 21 = 21

This does not satisfies the given condition.

So the greatest number = 6

Answer 2

Answer:

The greatest integer is 6

Step-by-step explanation:

Let the integer be x

7+2x > 3x

3x < 7+2x

3x-2x < 7

x < 7

Therefore the greatest integer is 6