Question

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

• A. 10 and 19
• B. 8 and 17
• C. 19 and 6
• D. 12 and 13

Answer 1

The correct option is B 8 and 17

Let the number be x.

Then the other number = x + 9

Sum of the two numbers = 25

⇒ x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x + 9 - 9 = 25 - 9

⇒ 2x = 16

⇒ 2x/2 = 16/2

⇒ x = 8 and x + 9 = 8 + 9 = 17.

Therefore, the required numbers are 8 and 17.