Answer:
120
Step-by-step explanation:
Question:
If eleven is added to the difference of a number and twenty-one, the sum is one hundred ten
Formula:
let x be the missing number
[tex]x - 21 + 11 = 110[/tex]
Add -21 and 11
[tex]x-10=110[/tex]
Add 10 to both sides of the equation
[tex]x-10+10=110+10[/tex]
Add the numbers
[tex]x=110+10[/tex]
[tex]x=120[/tex]
Checking:
Substitute the answer that we find
[tex]x - 21 + 11 = 110[/tex]
[tex]120-21+11=110[/tex]
[tex]99+11=110[/tex]
[tex]110=110[/tex]
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