- #1
kaliprasad
Gold Member
MHB
- 1,335
- 0
find the least possible value of a + b where a and b are positive integers and 11 divides $a+ 13b$
and 13 divides $a + 11 b$
and 13 divides $a + 11 b$
Last edited:
kaliprasad said:find the least possible value of a + b where a and b are positive and 11 divides $a+ 13b$
and 13 divides $a + 11 b$
Albert said:the least possible value of a + b=14
a=11.5,b=2.5
kaliprasad said:sorry I meant integers
The "Least Possible Value of a+b: 11 & 13 Divisibility" problem is a mathematical problem that involves finding the smallest possible value of two numbers, a and b, where the sum of the two numbers is divisible by both 11 and 13.
Finding the least possible value is important because it provides a specific solution to the problem and helps to determine if there is a unique solution or multiple solutions.
The process for solving the "Least Possible Value of a+b: 11 & 13 Divisibility" problem involves finding the least common multiple of 11 and 13, and then finding the smallest number that is divisible by both 11 and 13. This smallest number will be the sum of a and b.
The possible values of a and b in this problem are any two numbers that add up to the least possible value found in the solution. There can be multiple pairs of numbers that satisfy this condition.
This problem can be relevant in real life when dealing with situations that involve finding the smallest possible value, such as minimizing costs or maximizing efficiency. It also helps in understanding the concept of divisibility and its application in various fields such as computer science and cryptography.