20% of a number is added to 120, the result is the same number. The required number is?
20% of a number is added to 120, the result is the same number. The required number is?
Explanation
Let y be the number. Then we have: 20% of y + 120 = y Simplifying, we get: 0.2y + 120 = y Subtracting 0.2y from both sides, we get: 120 = 0.8y Dividing both sides by 0.8, we get: y = 150 So the number is **150**.
You can check the answer by plugging it back into the original equation: 20% of 150 + 120 = 150 30 + 120 = 150 150 = 150