Two less than 4 times a number is the same as the number plus 34. Find the number?

2 Answers
Feb 23, 2018

The required number is 12.

Explanation:

To solve the problem first define a variable for the required number.
Let's say, n is our required number.

Then according to the given statement, we have:

4x-2=x+34

Add 2 to both sides:

4x-2+2=x+34+2

4x=x+36

Subtract x from both sides:

4x-x=x+36-x

3x=36

Divide both sides by 3:

\frac{3x}{3}=\frac{36}{3}

x=12

That's it!

Feb 23, 2018

The number is 12

Explanation:

The phase "is the same as" separates the sentence into two equal parts.
Write an expression for each.

Let ' the number' be x

4 times the number : 4x

Two less than that means: color(blue)(4x-2)

The number plus 34 is written as color(red)(x+34)

These two expressions are equal to each other.

color(blue)(4x-2)" = "color(red)(x+34)

4x -x = 34+2

3x =36

x =12

Check:

color(blue)(4x-2)" = "color(red)(x+34)

color(blue)(4(12)-2)" = "color(red)((12)+34)

color(blue)(46)" = "color(red)(46)