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

Please Answer With A Solution!​

Sagot :

Answer:

Two integers can only add to become another integer. The greatest integer less than

83

is

82

.

However, you can't have two consecutive integers adding up to give an even number, so we're going to have to pick the greatest odd number that's smaller than

83

, which is of course

81

.

So we are looking for two consecutive integers that add up to

81

. We are looking for a number

a

and the number after it

a+1

.

To do this, we can add them and set them equal to

83

.

a+(a+1)=

83

2a=82a=41

(a+1)=42

41+42=83

And that is good information, by we are looking for the biggest odd number that's smaller than

83

so we can subtract

1

from both numbers.

(a−1)=40a=41

40+41=81

Answer:

79

numbers 39 and 40

Step-by-step explanation:

79÷​2=39.5

39+40=79