Question

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

Answer 1

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)`

Answer 2

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.