Question

The difference of two numbers is 18, and their sum is 90. Find the two numbers.

smaller number =
larger number =

Answer 1

The numbers are 54 and 36. Larger number = 54. Smaller number = 36.

Explanation:

Step 1:

Let the numbers be x and y. Given their sum = 90 and difference = 18. Form equations out of it.

⇒ x + y = 90 ------ (1)

⇒ x - y = 18 ------- (2)

Subtract eq (2) from eq (1)

⇒ 2x = 108

⇒ x = 54

Step 2:

Find y.

⇒ y = 90 - x = 90 - 54 = 36