Answer: -24
Explanation:
Let the unknown number be x , therefore ; The difference between the number and 6 implies x - 6
Also , twice their difference implies 2 ( x - 6 )
The sum of the number and 4 implies : x + 4
three times their sum implies : 3 ( x + 4 )
Combining all together , we have
2 ( x - 6 ) = 3 ( x + 4 )
Expanding , we have
2x - 12 = 3x + 12
collecting the like terms , we have
2x - 3x = 12 + 12
-x = 24
multiply through by -, we have
x = -24
Check :
2 ( x - 6 ) will give
2 ( -24 - 6 )
= 2 (-30)
= -60
3 ( x+4) will give
3 ( -24 + 4 )
= 3 ( -20)
= -60
Therefore:
2( x- 6 ) = 3 ( x + 4 )