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If doubling a number and adding 16 to the result gives the same number as multiplying the number by 6 and taking away 4 from the product, then find the number.
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If doubling a number and adding 16 to the result gives the same number...
Let the number be x
According to the question,
⇒ 2x + 16 = 6x – 4
⇒ 4x = 20
⇒ x = 5
∴ Number is 5
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Most Upvoted Answer
If doubling a number and adding 16 to the result gives the same number...
Identifying the Unknown Number
To solve this problem, let's denote the unknown number as 'x'.

Setting up the Equations
According to the given conditions:
1. Doubling the number and adding 16 gives the same result as multiplying the number by 6 and subtracting 4.
2. Mathematically, this can be represented as:
2x + 16 = 6x - 4

Solving the Equation
Now, let's solve the equation to find the value of 'x':
2x + 16 = 6x - 4
16 + 4 = 6x - 2x
20 = 4x
x = 5

Verifying the Solution
To verify our solution, we substitute x = 5 back into the original equation:
2(5) + 16 = 6(5) - 4
10 + 16 = 30 - 4
26 = 26
Therefore, the unknown number is 5 (Option B), as it satisfies the given conditions.
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If doubling a number and adding 16 to the result gives the same number as multiplying the number by 6 and taking away 4 from the product, then find the number.a)4b)5c)6d)7Correct answer is option 'B'. Can you explain this answer?
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