The difference of two numbers is 5. The sum of three times the larger number and twice the smaller number is 30. What is the smaller number?

A. 1
B. 2
C. 3
D. 4
E. 5

C. 3

Step-by-step explanation:

Let the larger number be denoted by x.

Let the smaller number be denoted by y.

Given the following parameters;

............equation 1

.........equation 2

From equation 1;

.........equation 3

Substituting equation 3 into equation 2, we have;

5y = 15

Divide both sides by 5;

y = 15/5

y = 3.

Substituting the value of y into equation 3, we have;

x = 5 + 3 = 8.

Therefore, the value of the smaller number is 3 and the larger number is 8.

3/6   and 9/18

step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: