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When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?
- a)3
- b)4
- c)2
- d)6
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
When a number is subtracted from the number 8,12 and 20, the remainder...
8-x / 12 –x = 12-x /20 –x
(8-x)(20-x) = (12 – x)(12 –x)
160 – 8x – 20x + x2 = 144 – 12x – 12x + x2
4x = 16
x = 4
(8-x)(20-x) = (12 – x)(12 –x)
160 – 8x – 20x + x2 = 144 – 12x – 12x + x2
4x = 16
x = 4
Most Upvoted Answer
When a number is subtracted from the number 8,12 and 20, the remainder...
8-x / 12 –x = 12-x /20 –x
(8-x)(20-x) = (12 – x)(12 –x)
160 – 8x – 20x + x2 = 144 – 12x – 12x + x2
4x = 16
x = 4
(8-x)(20-x) = (12 – x)(12 –x)
160 – 8x – 20x + x2 = 144 – 12x – 12x + x2
4x = 16
x = 4
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Community Answer
When a number is subtracted from the number 8,12 and 20, the remainder...
**Problem Analysis:**
Let's assume the number we need to find is "x".
According to the problem, when we subtract x from the numbers 8, 12, and 20, the remainders are in continued proportion.
So, we can write the following equation:
(8 - x) / (12 - x) = (12 - x) / (20 - x)
We need to solve this equation to find the value of x.
**Solution:**
To solve the equation, we can cross multiply:
(8 - x) * (20 - x) = (12 - x) * (12 - x)
Expanding both sides of the equation:
160 - 28x + x^2 = 144 - 24x + x^2
Simplifying the equation:
160 - 28x = 144 - 24x
Collecting like terms:
28x - 24x = 160 - 144
4x = 16
Dividing both sides by 4:
x = 4
Therefore, the number is 4.
**Answer:**
The correct answer is option (b) 4.
Let's assume the number we need to find is "x".
According to the problem, when we subtract x from the numbers 8, 12, and 20, the remainders are in continued proportion.
So, we can write the following equation:
(8 - x) / (12 - x) = (12 - x) / (20 - x)
We need to solve this equation to find the value of x.
**Solution:**
To solve the equation, we can cross multiply:
(8 - x) * (20 - x) = (12 - x) * (12 - x)
Expanding both sides of the equation:
160 - 28x + x^2 = 144 - 24x + x^2
Simplifying the equation:
160 - 28x = 144 - 24x
Collecting like terms:
28x - 24x = 160 - 144
4x = 16
Dividing both sides by 4:
x = 4
Therefore, the number is 4.
**Answer:**
The correct answer is option (b) 4.
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When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?a)3b)4c)2d)6Correct answer is option 'B'. Can you explain this answer?
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