Question

Jake thinks of a number. He adds 5 then multiplies the result by 2. The answer is the same as 5 times the number then take away 14. what number did Jake think of?

Answer 1

Jake thinks of the number 8.

Hope this helps!

Explanation:

Turn the paragraph-given information into an equation:

Adds 5 = x + 5 and then multiplies the result by 2 = ( x + 5 ) * 2

5 times the number = x * 5 then take away 14 = ( x * 5 ) - 14

The same as means :

2 * ( x + 5 ) = ( x * 5 ) - 14

2x + 10 = ( 5x ) - 14

2x + 10 = 5x - 14

2x ( - 2x ) + 10 ( + 14 ) = 5x ( - 2x ) - 14 ( + 14 )

24 = 3x

8 = x

x = 8

If you plug 8 into the two equations, you will find both equations equal 26.

Answer 2

Answer: 8

Step-by-step explanation:

First we must set up the equation.

Jake adds 5 to the number then he multiplies it by 2.

2(x+5)

This is equal to the same number times 5 minus 14.

2(x+5)=5x-14

Distribute.

2x+10=5x-14

Add 14 to both sides.

2x+24=5x

Subtract 2x from both sides.

24=3x.

Divide both sides by 3.

8=x