One number is 4 more than another, and their sum is 60. What is the smaller number?
In algebra, the problem is expressed as a mathematical expression using variables and constants called an equation. To find the unknown numbers we will use an algebraic expression with variables and constants.
Answer: The smaller number is 28.
Let's find the smaller number.
To find the numbers we will have linear equation with one variable.
Let the smaller number be 'x' and the larger number be x + 4
⇒ x + (x + 4) = 60
⇒ 2x + 4 = 60
By subtracting both sides by 4, we get
⇒ 2x = 56
By dividing both sides by 2, we get
⇒ x = 56 / 2
⇒ x = 28