Question

The sum of two numbers is twice their difference. if one of the numbers is 10, the other number is select one:

a. 10/3 or 30
b. -10
c. 10/3
d. 12

Answer 1

The other number when added to 10, which gives a sum that is twice their difference, is found to be 10/3 after solving the algebraic equation 10 + x = 2(10 - x). The correct answer is a. 10/3 or 30.

Step-by-step explanation:

The question involves finding a number when given that the sum of two numbers is twice their difference, and one of the numbers is 10. Let's name the other number x. The equation based on the given information is:

10 + x = 2(10 - x)

Let's solve the equation step-by-step:

1. Add 10 and x: 10 + x.
2. Calculate twice the difference of 10 and x: 2(10 - x) = 20 - 2x.
3. Set up the equation: 10 + x = 20 - 2x.
4. Move all x terms to one side: 3x = 10.
5. Divide both sides by 3 to find the value of x: x = 10/3.

Therefore, the other number is 10/3, which is option a.