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Chapter 1: Q7. (page 52)

The sum of three consecutive integers is 135. State what is the greatest of the three integers.

A. 43 B. 44

C. 45 D. 46

Short Answer

Expert verified

The greatest of the three integer is 46 and the correct option isD.

Step by step solution

01

- State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Let x be the smallest integer.

02

- Obtain the integers.

Since the three integers are consecutive that one after the other, then the integers are,

x, x+1and x+2.

The sum of these three integers is 135.

Then,

x+x+1+x+2=1353x+3=135

Simplify the equation using subtarction and division,

3x+3鈭�3=135鈭�33x=1323x3=1323x=44

The other two integers are

x+1=44+1=45

And

x+2=44+2=46

Thus the three integers are 44, 45 and 46. The greatest among the three is 46.

03

- State the conclusion.

The greatest of the three integer is 46. Therefore, option D is correct.

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