(1) The second of two numbers is 6 times the first. Their sum is 77 . Find the numbers.

Step 1 ：Given: y = 6x and x + y = 77

Step 2 ：Substitute y = 6x into the second equation: x + 6x = 77

Step 3 ：Combine like terms: 7x = 77

Step 4 ：Divide by 7: x = 11

Step 5 ：Substitute x = 11 into y = 6x: y = 6(11)

Step 6 ：Calculate y: y = 66

Step 7 ：\(\boxed{\text{Final Answer: The two numbers are 11 and 66}}\)