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If a number is increased by 20% and the result is 120, what is the original numb
If a number is increased by 20% and the result is 120, what is the original number?
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Q1
If a number is increased by 20% and the result is 120, what is the original number?
100
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Let the original number be x. Then, x + 0.2x = 120, which gives 1.2x = 120, so x = 100.
Questions & Step-by-step Solutions
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Q
Q: If a number is increased by 20% and the result is 120, what is the original number?
Solution:
Let the original number be x. Then, x + 0.2x = 120, which gives 1.2x = 120, so x = 100.
Steps: 7
Show Steps
Step 1: Let the original number be represented as 'x'.
Step 2: When the number is increased by 20%, it becomes 'x + 0.2x'.
Step 3: Combine 'x' and '0.2x' to get '1.2x'.
Step 4: Set the equation '1.2x = 120' because the result after the increase is 120.
Step 5: To find 'x', divide both sides of the equation by 1.2: x = 120 / 1.2.
Step 6: Calculate 120 divided by 1.2, which equals 100.
Step 7: Therefore, the original number is 100.
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