The first of two numbers is 6 times the second. their sum is 77. find the numbers.

Call the first number x and the second number y. According to the first sentence, x = 6y. According to the second sentence, x + y = 77. You can combine these two equations to solve for x and y:

6y + y = 77

7y = 77

y = 11

Since x = 6y, x = 6 (11) = 66