The sum of two numbers is thirty-four. The sum of twice the smaller number and fifteen is thirty-nine. Find the two numbers.

Question

The sum of two numbers is thirty-four. The sum of twice the smaller number and fifteen is thirty-nine. Find the two numbers.

Answer 1

let larger number be a and smaller number be b

then a+b=34 and 

2b+15=39

So:

b=(39-15)/2 = 12

a= 34-12 = 22

Answer 2

 

Assign the numbers variables: let x represent the smaller number and y represent the other number.

Given,

x+y=34

2x+15=39

 

Solve for x using the second equation:

2x=39-15

2x=24

x=12

 

12+ y=34

     y=22