Set up the equation x + ( − 18 ) = 118 and solve for x , which gives x = 136 .
Divide x by -12: − 12 136 = − 3 34 .
Multiply the result by -9: ( − 3 34 ) × ( − 9 ) = 102 .
The final result is 102 .
Explanation
Setting up the equation Let x be the unknown number. According to the problem, when x is added to -18, the result is 118. This can be written as an equation:
The equation x + ( − 18 ) = 118
Solving for x To solve for x , we add 18 to both sides of the equation:
Isolating x x = 118 + 18
Value of x x = 136
Dividing by -12 Now, we divide x by -12:
Result of division − 12 x = − 12 136 = − 12 136 = − 3 34
Multiplying by -9 Next, we multiply the result by -9:
Final Calculation ( − 3 34 ) × ( − 9 ) = 3 34 × 9 = 34 × 3 = 102
The Answer Therefore, the final result is 102.
Examples
Imagine you're managing a budget. You start with a debt of $18, and after some transactions, you end up with $118 in your account. This problem helps you calculate how much money you earned in those transactions. Then, you divide this earning by 12 to see your average monthly income and multiply it by 9 to project your income over 9 months. Understanding these calculations can help you manage your finances effectively.