24.03.2020

A number times four is six less than twice the number find the number

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Step-by-step answer

09.07.2023, solved by verified expert
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The number is -3

Step-by-step explanation:

First, let's translate the statement into an equation.

4x = 2x - 6

Step 1: Subtract 2x from both sides.

A number times four is six less than twice the, №18010178, 24.03.2020 18:38A number times four is six less than twice the, №18010178, 24.03.2020 18:38

Step 2: Divide both sides by 2.

A number times four is six less than twice the, №18010178, 24.03.2020 18:38A number times four is six less than twice the, №18010178, 24.03.2020 18:38

Therefore, the number is -3/

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Mathematics
Step-by-step answer
P Answered by Master

The number is -3

Step-by-step explanation:

First, let's translate the statement into an equation.

4x = 2x - 6

Step 1: Subtract 2x from both sides.

4x-2x=2x-6-2x2x=-6

Step 2: Divide both sides by 2.

2x/2 = -6/2x=-3

Therefore, the number is -3/

Mathematics
Step-by-step answer
P Answered by Specialist
Define x :

Let the two digit number be 10x + y.


Construct Equation :

Four times the units digit is six less than twice the tens digit
⇒ 4y = 2x - 6
⇒2y = x - 3
⇒ x = 2y + 3

The number is nine less than three times the number obtained by reversing the digits.
⇒10x + y = 3(10y + x) - 9
⇒ 10x + y = 30y + 3x - 9
⇒ 7x = 29y - 9


Solve for x and y :

 x = 2y + 3 (1)
10x = 29y - 9  (2)

Sub (1) into (2) :

7(2y + 3) = 29y - 9
14y + 21 = 29y - 9
15y = 30
y = 2 Sub into (1)
x = 2(2) + 3
x = 7


Find the number:

Number = 10x + y = 10(2) + 7 = 27


The 2-digit number is 27.
Mathematics
Step-by-step answer
P Answered by Specialist
Define x :

Let the two digit number be 10x + y.


Construct Equation :

Four times the units digit is six less than twice the tens digit
⇒ 4y = 2x - 6
⇒2y = x - 3
⇒ x = 2y + 3

The number is nine less than three times the number obtained by reversing the digits.
⇒10x + y = 3(10y + x) - 9
⇒ 10x + y = 30y + 3x - 9
⇒ 7x = 29y - 9


Solve for x and y :

 x = 2y + 3 (1)
10x = 29y - 9  (2)

Sub (1) into (2) :

7(2y + 3) = 29y - 9
14y + 21 = 29y - 9
15y = 30
y = 2 Sub into (1)
x = 2(2) + 3
x = 7


Find the number:

Number = 10x + y = 10(2) + 7 = 27


The 2-digit number is 27.
Mathematics
Step-by-step answer
P Answered by Specialist
The answer to the question is 72. This can be found either by trial and error, or by setting up a system of equations.
Mathematics
Step-by-step answer
P Answered by Specialist

2x - 6 = 4

Step-by-step explanation:

Firstly, let's assume the number is x

Then, twice the number is 2 times x = 2x

6 less than twice the number is four

2x - 6 = 4

2x - 6 + 6 = 4 + 6

2x = 10

2x/2 = 10/2

x = 5

Mathematics
Step-by-step answer
P Answered by Specialist

2x - 6 = 4

Step-by-step explanation:

Firstly, let's assume the number is x

Then, twice the number is 2 times x = 2x

6 less than twice the number is four

2x - 6 = 4

2x - 6 + 6 = 4 + 6

2x = 10

2x/2 = 10/2

x = 5

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