Answer:
The number is 3.
Explanation:
Let x be "a number."
"27 is added to a number" can be written as:
x + 27
"The result is divided by 10" may be expressed as:
(x+27)/10
"This result is decreased by 1 to get 2" translates as:
((x+27)/10)-1 = 2
The number is:
((x+27)/10)-1 = 2
((x+27)/10) = 3
(x+27) = 30
x = 3
CHECK:
Does 27 added to 3, divided by 10, and then subtract 1 result in 2?
((27 + 3)/10) - 1 = 2?
30/10 - 1 = 2?
3 - 1 = 2?
2 = 2 YES. The number is 3.