Question

B. Solve;

1. Find a number such that three times the sum of that number
and 5 is greater than 33.

2. The sum of two consecutive integers is less than 81. Find the
pair of integers with the greatest sum.​

Answer 1

1 .
Let’s say your number is x.
3x+5>33
3x>28
x>28/3
2.
Let’s say the two consecutive integers are x and x-1
Since the two numbers are integers and two consecutive numbers (odd+even) can never add up to an even number (80 for example).
The highest possible sum of two consecutive integers that is less than 81 will add up to 79.

x+x-1=79
2x-1=79
2x=80
x=40
So the two consecutive numbers are 40 (x) and 39(x-1)
Hope this helps