Question

Let x be a positive number such that the distance between x and -3.8 on a number line is exactly 2 times the distance between x and 1.7. What is the value of x? Express your answer as a decimal to the nearest tenth.
I know the answer is 7.2 but idk why. HELP PLZZ

Answer 1

Answer:

x = 7.2

Step-by-step explanation:

Let x be a positive number such that the distance between x and -3.8 on a number line is exactly 2 times the distance between x and 1.7.

Now. the distance between - 3.8 and x will be (x + 3.8) and the distance between x and 1.7 will be (x - 1.7) {Since x is a positive number}

(Assuming x is greater than 1.7}

Given that, x + 3.8 = 2(x - 1.7)

⇒ x + 3.8 = 2x - 3.4

⇒ x = 7.2 (Answer)