Question

Two fewer than a number doubled is the same as the number decreased by 38. Find the number.

If n is "the number," which equation could be used to solve for the number?

Answer 1

The required equation is : 2·(n - 2) = n - 38

Explanation:

Let the number be n

Two fewer than the number : n - 2

Two fewer the number is doubled : 2·(n - 2)

Number is decreased by 38 : n - 38

Given : Two fewer than a number doubled is the same as the number decreased by 38

⇒ 2·(n - 2) = n - 38

⇒ 2n - 4 = n - 38

⇒ n = -34

Hence, The required equation is : 2·(n - 2) = n - 38