The larger of two numbers is nine more than twice the smaller number

Question

The sum of the numbers is thirty. Find each number.?

Answer 1

Let the smaller number = x

According to given data, larger number would be 2x + 9.

Sum of the numbers is thirty and it's algebraic expression is x + (2x + 9) = 30

x + 2x + 9 = 30

3x + 9 = 30

3x = 30 - 9

3x = 21

x = 21/3

x = 7

Smaller number = 7

Larger number = 2x + 9

= 2(7) + 9 = 14 + 9 = 23

The numbers are 23 and 7.