Number Word Problem

Question

The sum of 2 numbers is 54. If the larger number is divided by the smaller number, the quotient is 2 and the remainder is 3. Find the numbers.

Answer 1

x+y=54 where x is the larger and y is the smaller

x=2y+3

substitute

2y+3+y=54

3y+3=54

3y=54-3

3y=51

y=51/3

y=17

x+17=54

x=54-17

x=37

x=37 and y=17 are the numbers