The larger of two numbers is 3 more than 2 times the smaller. If the smaller is subtracted from the larger, the result is 5. Find the two numbers.

Question

The larger of two numbers is 3 more than 2 times the smaller. If the smaller is subtracted from the larger, the result is 5 Find the two numbers.

Answer 1

Let the smaller number be x

Let the larger number be y

 

larger of two numbers is 3 more than 2 times the smaller:

y = 2x + 3

 

the smaller is subtracted from the larger, the result is 5:

y - x = 5

 

In 2nd equation solve for y:  y = x + 5

 

Substitute x+5 in place of y in 1st equation.

 

x + 5 = 2x + 3

5-3 = 2x - x

2 = x

 

The smaller number is 2

 

y = x + 5 = 7

 

Your numbers are {2, 7}