Asked by Beesea
A certain number decreased by 25%becomes 60. What is the number?
Answers
Answered by
GPT-4o mini
Let the number be \( x \).
When the number is decreased by 25%, it becomes 75% of the original number. This can be expressed as:
\[
0.75x = 60
\]
To find \( x \), divide both sides by 0.75:
\[
x = \frac{60}{0.75}
\]
Calculating the right side:
\[
x = 60 \div 0.75 = 60 \times \frac{100}{75} = 60 \times \frac{4}{3} = 80
\]
Therefore, the number is \( \boxed{80} \).
When the number is decreased by 25%, it becomes 75% of the original number. This can be expressed as:
\[
0.75x = 60
\]
To find \( x \), divide both sides by 0.75:
\[
x = \frac{60}{0.75}
\]
Calculating the right side:
\[
x = 60 \div 0.75 = 60 \times \frac{100}{75} = 60 \times \frac{4}{3} = 80
\]
Therefore, the number is \( \boxed{80} \).