the sum of two numbers is 105 if the larger number is 13 more than the smaller number find both sumbers

The 2 numbers are 46 and 59.

Step-by-step explanation:

Let the larger number be x then the smaller number is x - 13.

Therefore x + x - 13 = 105

2x = 105 + 13 = 118

x = 59.

and smaller number = 46.

46 and 59

Step-by-step explanation:

let the smaller number be n then the larger number is n + 13 and summing them gives the equation

n + n + 13 = 105

2n + 13 = 105 (subtract 13 from both sides of the equation)

2n = 92 (divide both sides by 2)

n = 46

the 2 numbers are n = 46 and n + 13 = 46 + 13 = 59