MCQ
The sum of two consecutive odd numbers is $36.$ The larger number is:
- A$17$
- B$15$
- ✓$19$
- D$21$
✓
Answer
Correct option: C.
$19$
Let the two consecutive odd numbers be $x$ and $x + 2.$
As, the sum of the two consecutive odd numbers is $36.$
$\Rightarrow x + (x + 2) = 36$
$\Rightarrow 2x + 2 = 36$
$\Rightarrow 2x = 36 - 2$
$\Rightarrow 2x = 34$
$\Rightarrow\text{x}=\frac{34}2$
$\Rightarrow x = 17$
$\therefore x + 2 = 17 + 2 = 19$
So, the larger number is $19.$
Hence, the correct alternative is option $(c).$
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