The sum on an odd integer and twice its consecutive is equal to $3757$ . Find the number.

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Solution

Here let the first number be $x$ , then the other consecutive number will be $x + 2$ , as per the given information we get the equation as,
$x + (x + 2) \times 2 = 3757$
$x + 2 x + 4 = 3757$
$3 x + 4 = 3757$
$3 x = 3757 - 4$
$x = 3753 / 3$
$x = 1251$
Now by substituting the value of $x$ in the given equation, we get it as,
$1251 + (1251 + 2) \times 2 = 3757$
$1251 + 2506 = 3757$
Which is true, hence the first number in the equation is 1251
Ans: $x = 1251$

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