Question

The difference between a number increased by 17% and the same number decreased by 18% is 28. Find the number.

• A. 0.8
• B. 476
• C. 80
• D. 4.76

Answer 1

Answer:

C. 80

The number is 80.

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• Let the number be $x$.

• Increased by 17%: $1.17x$

• Decreased by 18%: $0.82x$

• Set up equation: $1.17x - 0.82x = 28$

• Simplify the equation: $0.35x = 28$

• Solve for $x$: $x = \frac{28}{0.35}$

• Final result: $x = 80$