SOLUTION: When a certain number is divided by 7, the result is the same as when this number is decreased by 12. What is the number?
F)14
G)13
H)10
J) none of these
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Question 1144969: When a certain number is divided by 7, the result is the same as when this number is decreased by 12. What is the number?
F)14
G)13
H)10
J) none of these
Answer by ajspeller(2) (Show Source): You can put this solution on YOUR website!
Let be the unknown number
Let be the unknown number divided by
Let be the unknown number decreased by
Set the expressions equal to each other
Convert the right side to a fraction by placing it over
Cross multiply to get
Simplify by distributing the
Simplify by multiplying
Combine like terms by subtracting from both sides
Simplify
Simplify
Isolate by dividing by sides by
Simplify, remember that a negative by a negative is a positive
Check:
Substitute in the
Evaluate
Correct!
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