The difference between two numbers is 25, the smaller number is 1/6 of the larger number. Find the Numbers.

In algebra, the problem is expressed as a mathematical expression using variables and constants called an equation.

Answer: The two numbers are 30 and 5 whose difference is 25.

Let's find the numbers.

Explanation:

To find the numbers we will have linear equation with one variable.

Let the larger number be 'x' and the smaller number be x/ 6.

⇒ x - x/ 6 = 25

⇒ ( 6 x - x )/ 6 = 25

By multiplying both sides by 6, we get

⇒ (6 x - x ) = 25 × 6

⇒ 5 x  = 150

By dividing both sides by 5, we get

⇒ x = 150 / 5

⇒ x = 30

⇒ x / 6 = 30 / 6 = 5

Thus, the two numbers are 30 and 5 whose difference is 25.