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

The value of the smaller number is 31. The value of the larger number is 43.

y = 12 + x

y + x = 74

Since we have a value for y, we can plug it into the second equation

12 + x + x = 74

Subtract 12 from both sides.

x + x = 62

Combine like terms.

2x = 62

Divide both sides by 2.

x = 31

Now that we have a value of x, we can plug it into the original equation to get a value for y.

y = 12 + 31

y = 43