Question

8. The sum of two consecutive odd integers is 32. Find the integers.
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Answer 1

Answer:

Let the two consecutive positive odd integers be x and (x+2).

Then, their sum is 32.

∴(x)+(x+2)=32

2x+2=32

2x=32−2

2x=30

x=

2

30

=15

Since x=15, then the other integer, x+2=15+2=17

∴ The two required consecutive positive odd integers are 15 and 17.

Verification:

15+17=32.

Answer 2

Let the two consecutive odd integers be x and x + 2

$x + x + 2 = 32 \\ 2x + 2 = 32 \\ 2x = 32 - 2 \\ 2x = 30 \\ x = \frac{30}{2} \\ \\ x = 15$

$the \: two \: numbers \: are \: \: 15 \: and \: 17$