Question

Find two consecutive positive integers whose sum is 365

Answer 1

$\Huge{\boxed{Solution:-}}}$

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Given :

Sum = 365

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To find :

Two consecutive positive

integers whose sum is 365.

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Let the two consecutive

positive integer be x and x+1.

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So,

According to the question.

we have to solve This

equation  x + x + 1 = 365.

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Let us solve,

⇒ x + x + 1 = 365

⇒ 2x + 1 = 365

⇒ 2x = 365 - 1

⇒ 2x = 364

⇒ x = $\dfrac{364}{2}$

⇒ x = 182

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Verification

To verify our answer we

have to put the 182 at the

place  of 'x'

⇒ 182 + 182 + 1 = 365

⇒ 364 + 1 = 365

⇒ 365 = 365

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L.H.S = R.H.S

hence it is verified

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First consecutive number

= x

= 182

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Second consecutive number

= x+1

= 182 + 1

= 183