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When 6 times a number is increased by 11, the result is 16 less than 9. Find the number.

User R S
by
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2 Answers

6 votes

Answer:

You need to be more clear. When you're saying increased by you need to mention percent, because 11 alone has no sense.

Explanation:

6 times a number means 6 times x where x is a real number or x ∈ R:

6x

Increasing a number by 11 percent is multiplying by (1 + 11/100).

6x(1 + 11/100) = 16-9

equivalent to: (we developed)

6x + 66x/100 = 7

there follows: (we multiply by 100 from each side)

600x + 66x = 700

666x = 700

x =
(700)/(600)

User Lared
by
8.6k points
7 votes

Answer:

The number is -3.

Explanation:

Let the number be x.

Then according to the question,

6 times of the number increased by 11 = 6x + 11

Result is 16 less than 9 = 6x + 11 = 16 - 9

  • 6x+11 = 9-16

Solving for x,

  • 6x+11 = -7
  • 6x = -7-11
  • 6x = -18
  • x = -18/6
  • x = -3

Hence,the number is -3.

User Sendy
by
8.9k points

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