one number is 3 more than twice the other number.if the sum of the numbers is 24 what are the two numbers

Question

one number is 3 more than twice the other number.if the sum of the numbers is 24 what are the two numbers

Answer 1

Let the numbers be n and m, with n > m.

 

n = 2m + 3  [3 more than twice the other number]

n + m = 24  [the sum of the numbers is 24]

 

Then

 

n = 24 - m

24 - m = 2m + 3

3m = 21

m = 7

n = 24 - m = 24 - 7 = 17

 

The two numbers are 7 and 17.