Let x represent the first number, then x-7 represents the second number
Assume the numbers are whole numbers (no negative numbers), then the smallest value that x could be is 8. Thus, the first number is 8 and the second number is 1. The LCM is 8.
Let's increase x by one number so that x=9, then the second number is 2. The LCM is 18.
Let's increase x again by one number so x=10, then the second number is 3. The LCM is 30.
You could continue this to discover that the LCM will be x(x-7) between x=8 and x=13.
So what happens at x=14? First digit is 14 and the second digit is 7. The LCM is 14.
This will occur for all x-values that are multiples of 7.
Answer: when x is a multiple of 7, the LCM is x. when x is not a multiple of 7, the LCM is x(x-7).
Answer:
y = 14°
Step-by-step explanation:
50° = 2x° (isosceles triangle theorem)

50° + 2x° + (5y + 10)° = 180° (The sum of the three angles of any triangle is equal to 180 degrees.)

Answer:
Total number of chairs in the restaurant = 160.
Step-by-step explanation:
Total number of tables in the restaurant = 50
It is given that 40% of the tables have 2 chairs at each table.
40% of 50 = 
= 20
So, 20 tables have 2 chairs at each table.
Number of chairs required for 20 tables = 20 × 2 = 40
Remaining 60% of the tables have 4 chairs at each table.
60% of 50 = 
= 30
So, 30 tables have 4 chairs at each table.
Number of chairs required for 30 tables = 30 × 4 = 120
Hence, total number of chairs in the restaurant = 40 + 120 = 160.