Question

Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers? Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

Answer 1

11 and 12

Explanation:

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Answer 2

11 and 12

Explanation:

Let the consecutive integers be x and x+1

The lesser integer = x

The greater integer = x+1

Two times the greater of two consecutive integers is expressed as;

2(x+1) = 2x+2.

9 less than three times the lesser integer is expressed as;

3x - 9

Equate both expression

2x+2 = 3x - 9

2x-3x = -9-2

-x = -11.

x = 11

The greater integer = x+1 = 11+1 = 12

Hence the integers are 11 and 12