The sum of two numbers is 30. the difference of the two number is 4. what number is lesser

The lesser number is 13.

Step-by-step explanation:

Step 1:

Let x represent the first number and y represent the second number

Given, sum of 2 numbers = 30

So we have, y + x = 30

The difference of the 2 numbers = 4

so x - y = 4

Step 2:

Adding the 2 equations obtained in step 2 we have,

2 x = 34 = > x = 17

x + y = 30 = > y = 30-x = 30 - 17 = 13

Step 3:

Answer:

So 17 and 13 are the 2 numbers.

The lesser number is 13.