Solve the problem algebraically. Clearly define all​ variables, write an appropriate​ equation, and solve. One number is 6 more than twice the other number.

Question

Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.
One number is 7

more than twice the other number. If the sum of the two numbers is 19
,
find the two numbers.

.

Answer 1

Let the first number be x

The other number is 2x + 7

They sum to 19:

 

x + 2x + 7 = 19

3x + 7 = 19

3x = 12

x = 4

2x+7 = 15

 

the numbers are 4 and 15