The sum of two consecutive integers is 91. Find the integers.
2 answers:
Answer:
The integers are 45 and 46.
Step-by-step explanation:
Let the two consecutive integers be x and therefore the other will be x+1.
Given that the sum of the integers is 91.
So ATP,
- x+(x+1) = 91
Solving for first number i.e. x,
- x+x+1 = 91
- 2x = 91-1
- 2x = 90
- x = 90/2
- x = 45
Hence,the first number is 45.
Solving for second number,i.e. x+1:
It can easily be obtained by substituting the value of x we got.
- x+1
- 45+1
- 46
Hence,the second number is 46.
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Answer with Step-by-step explanation:
Permutation : It is an arrangement of r elements out of n elements.
Combination : it is a selection of r element out of n elements .
Suppose we have a set
S={1,2,3}
If two elements are taken at a time then
Using permutation formula
Total number of outcomes=
Total number of outcomes=
Total number of outcomes=3!=
Using combination formula
Total number of outcomes=
Total number of outcomes=
Hence, total number of outcomes=3
Total number of outcomes determined by permutation have more outcomes.
Because permutation is an arrangement of elements therefore, it consider order of arrangement of element but combination is a selection of elements it does no consider order of elements
Arrangements of two elements out of 3 elements
{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}
By using combination if two elements taken at a time then combination
{1,2},{2,3},{1,3}