Question

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

A.
-4
B.
-2
C.
-1
D.
1

Answer 1

Answer:

A

Step-by-step explanation:

let the number be x, then

the difference of x and 6 is x - 6 and

5 times the sum of x and 2 is 5(x + 2)

Equate both expressions

5(x + 2) = x - 6 ← distribute left side

5x + 10 = x - 6 ( subtract x from both sides )

4x + 10 = - 6 ( subtract 10 from both sides )

4x = - 16 ( divide both sides by 4 )

x = - 4 → A

Answer 2

Option A is correct. The unknown number according to the question given is -4

Let the unknown number be "x"

• The difference of the number and 6 is expressed as x - 6

• 5 times the sum of the number and 2 is expressed as 5(x+2)

Equating both results to get the unknown

x - 6 = 5(x+2)

Expand

x - 6 = 5x + 10

Collect the like terms

x - 5x = 10 + 6

-4x = 16

x = 16/-4

x = -4

Hence the unknown number according to the question given is -4

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