Sum of two numbers is 36. One number is 3 times the other number. What are the numbers?

Solution:

Given the sum of the two numbers is 36.

One number is 3 times the other.

Let us write them as linear equations.

Let us assume the two numbers are x, y

By the given condition, x = 3y ---------->(1)

x + y = 36---------->(2)

Solving the linear equations, we get

⇒ 3y + y = 36

⇒ 4y = 36

⇒ y = 9

x + y = 36 ⇒ x + 9 = 36

⇒ x = 36 - 9

⇒ x = 27

Thus, the two numbers are 27, 9.

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Sum of two numbers is 36. One number is 3 times the other number. What are the numbers?

Summary:

If the sum of two numbers is 36. One number is 3 times the other number, then the numbers are 27,9.