Question

Find the missing number based on the description below. 11 less than four times a number is the same as 46 less than the product of -1 and the number

Answer 1

Given:

11 less than four times a number is the same as 46 less than the product of -1 and the number.

To find:

The missing number.

Solution:

Let x be the missing number.

Four times a number = 4x

11 less than four times a number = 4x-11

Product of -1 and the number = (-1)x

= -x

46 less than the product of -1 and the number = -x-46

The given statement is "11 less than four times a number is the same as 46 less than the product of -1 and the number". So,

`4x-11=-x-46`

`4x+x=11-46`

`5x=-35`

Divide both sides by 5.

`x=(-35)/(5)`

`x=-7`

Therefore, the missing number is -7.