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1/2 is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.
- a)3/5
- b)7/4
- c)6/7
- d)2/3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
1/2 is subtracted from a number and the difference is multiplied by 4....
Let the number be x
According to the question
½ is subtracted from x which will give x – ½
And the difference is multiplied with 4 [x – 1/2] * 4 to give 5
[x – 1/2] * 4 = 5
4x – ½*4 = 5
4x -2 = 5
4x = 5 + 2
x = 7/4
Most Upvoted Answer
1/2 is subtracted from a number and the difference is multiplied by 4....
Let the number be x
According to the question
� is subtracted from x which will give x – �
And the difference is multiplied with 4 [x – 1/2] * 4 to give 5
[x – 1/2] * 4 = 5
4x – �*4 = 5
4x -2 = 5
4x = 5 + 2
x = 7/4
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Community Answer
1/2 is subtracted from a number and the difference is multiplied by 4....
To solve this problem, let's break it down step by step:
Step 1: Let's assume the number as x.
Step 2: "1/2 is subtracted from a number" can be written as x - 1/2.
Step 3: "The difference is multiplied by 4" can be written as 4(x - 1/2) or 4x - 2.
Step 4: "25 is added to the product" can be written as 4x - 2 + 25 or 4x + 23.
Step 5: "The sum is divided by 3" can be written as (4x + 23)/3.
Step 6: "The result is equal to 10" can be written as (4x + 23)/3 = 10.
Now, we need to solve the equation to find the value of x.
Step 7: Multiply both sides of the equation by 3 to get rid of the fraction: 4x + 23 = 30.
Step 8: Subtract 23 from both sides: 4x = 30 - 23 = 7.
Step 9: Divide both sides by 4 to isolate x: x = 7/4.
Therefore, the answer is x = 7/4, which is option B.
Step 1: Let's assume the number as x.
Step 2: "1/2 is subtracted from a number" can be written as x - 1/2.
Step 3: "The difference is multiplied by 4" can be written as 4(x - 1/2) or 4x - 2.
Step 4: "25 is added to the product" can be written as 4x - 2 + 25 or 4x + 23.
Step 5: "The sum is divided by 3" can be written as (4x + 23)/3.
Step 6: "The result is equal to 10" can be written as (4x + 23)/3 = 10.
Now, we need to solve the equation to find the value of x.
Step 7: Multiply both sides of the equation by 3 to get rid of the fraction: 4x + 23 = 30.
Step 8: Subtract 23 from both sides: 4x = 30 - 23 = 7.
Step 9: Divide both sides by 4 to isolate x: x = 7/4.
Therefore, the answer is x = 7/4, which is option B.
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1/2 is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.a)3/5b)7/4c)6/7d)2/3Correct answer is option 'B'. Can you explain this answer?
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