Question

2. Three times the sum of a number and 4 is 21
less than the number times 6. Find the number

Answer 1

11

Explanation:

Given two expressions involving the same unknown number, you want to find the number.

Setup

3(x +4) . . . . three times the sum of a number and 4

6x -21 . . . . 21 less than the number times 6

These two expressions have the same value, so we can write the equation ...

3(x +4) = 6x -21

Solution

Eliminating parentheses, we have ...

3x +12 = 6x -21

33 = 3x . . . . . . . . add 21-3x

11 = x . . . . . . . . . divide by 3

The number is 11.