The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.

The two consecutive integers are 29 and 30

Work Shown:

x = first integer

x+1 = second integer that follows immediately after x

Consecutive integers are numbers like {4,5,6,7,...} ones that follow right after another.

Add up those expressions and set the sum equal to 59. Then solve for x

x+(x+1) = 59

2x+1 = 59

2x = 59-1

2x = 58

x = 58/2

x = 29

So 29 is the first number

x+1 = 29+1 = 30

and 30 is the next number

As a check, 29+30 = 59 which confirms our answer.

step-by-step explanation:

12475909

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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