The sum of two numbers is 67 . the larger number is 5 more than the smaller number. what are the numbers?

Call the numbers x and y. According to the first sentence, x + y = 67. According to the second sentence, x = y + 5. You can combine these two equations to find the values of these variables:

x + y = 67
(y + 5) + y= 67
2y = 62
y = 31

You can use this to find x by plugging in y to either original equation:

x = y + 5
x = 31 + 5
x = 36