Question

one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1

Answer 1

Answer:

the number is 5

Step-by-step explanation:

We have to find the equation to solve the problem.

Let the number be x

lets write one more than seven times the difference of a number and 4  in mathematical form

1. Difference of number and 4 will be written as x - 4

now

2. seven times the difference of a number and 4 will be written as

7*( x - 4)

3. one more than seven times the difference of a number and 4 is expressed as

1 + 7*( x - 4)

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1 + 7*( x - 4) is equal to twice the difference of the number and 1

4. difference of the number and 1 is x - 1

5.  twice the difference of the number and 1 is 2*(x-1)

Thus,

1 + 7*( x - 4) = 2*(x-1)

=> 1 + 7x - 28 = 2x -2

=> 7x - 27 = 2x - 2

adding 27 both sides

=> 7x - 27 + 27 = 2x - 2 + 27

=> 7x = 2x + 25

subtracting 2x from both sides

7x -2x = 2x + 25 - 2x

=> 5x = 25

dividing both side by 5

5x/5 = 25/5

x = 5

Thus, the number is 5  answer