The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers

Given information

Larger number is 12 more than smaller number.
Sum of the 2 numbers is 74.


Form the equation and solve for x

Let x be the smaller number
smaller number = x
larger number = x + 12

x + (x + 12) = 74
x + x + 12 = 74
2x + 12 = 74
2x = 74 - 12
2x = 62
x = 62 ÷ 2
x = 31


Find the two numbers

Smaller number = x = 31
Larger number = x + 12 = 31 + 12 = 43


The two numbers are 31 and 43