Question 1082972
let x equal 1 of the numbers.


since the number are consecutive, then the next number is x + 1.


the sum of the smaller number and 3 times the larger number is 103.


that becomes x + 3 * (x + 1) = 103


simplify to get x + 3x + 3 = 103


combine like terms to get 4x + 3 = 103


subtract 3 from both sides to get 4x = 100


solve for x to get x = 25.


the smaller number is 25.
the larger number is 26.


the sum of the smaller number and 3 times the larger number is equal to 25 + 3 * 26 which is equal to 25 + 78 which is equal to 103.


this confirms the solution is correct.