Question

The sum of two numbers is 35. If twice the smaller added to larger, the result is 50. Find the numbers.

Answer 1

Given:

• The sum of two numbers is 35.
• Twice the smaller number added to the larger number equals 50.

Step-wise calculation:

1. Let the two numbers be (x) smaller and (y) larger.

2. From the problem, the sum equation is:

x + y = 35   ...(1)

3. The second condition tells us:

2x + y = 50   ...(2)

4. Subtract equation (1) from equation (2):

(2x + y) – (x + y) = 50 – 35

2x + y – x – y = 15

x = 15

5. Substitute (x = 15) into equation (1):

15 + y = 35

⇒ y = 20

The two numbers are 15 smaller number and 20 larger number.