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If Doubling a Number and Adding 20 to the Result Gives the Same Answer as Multiplying the Number by 8 and Taking Away 4 from the Product, the Number is?

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Explanation

  • If doubling a number and adding 20 to the result.
  • Gives the same answer.
  • As multiplying the number by 8 and taking away 4 from the product

The number can be figure out in this way.

Let suppose the number is y.

Doubling the “y” and adding 20 to the result

2y + 20 ________ (i)

Multiplying the “y” by 8 and taking away 4 from the product

8y – 4 ________ (ii)

We can figure out the value of y easily by considering both equations (i) and (ii) equal (y = 4).

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

2y + 20 = 8y – 4

20 + 4 = 8y – 2y

6y = 24

y = 24/6

y = 4

Required Number = 4 answer

Conclusion

If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is 4.

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