integers, answering word problems

Question

find 2 consecutive integers such that the smaller added to two times the larger gives a sum of 34.

Answer 1

The two consecutive integers are x , x + 1.

The smaller added to two times the larger gives a sum of 34.

x + 2(x + 1) = 34

x + 2x + 2 = 34

x + 2x = 34 - 2

3x  = 32

x  = 32/3

x  = 10.6

x + 1 = 11.6

The consecutive numbers are 10.6 and 11.6.

Decimals are not integers. Integers are whole numbers which can be either positive or negitive.

If we assume that two consecutive integers are even.

The two consecutive even integers are 2x and 2x + 2.

The smaller added to two times the larger gives a sumof 34.

2x + 2(2x + 2) = 34

2x + 4x + 4 = 34

6x  = 34 - 4

6x  = 30

x  = 30/6

x  = 5

2x  = 10

2x + 2 = 12

The two consecutive even integers are 10 , 12.