Math, asked by anshdeepjosan0, 8 months ago


The product of two consecutive +ve integers is 306 find integers

Answers

Answered by Anonymous
41

Answer:

Answer Expert Verified

The product of two consecutive positive integers is 306. Therefore the numbers are 17 and 18.

Answered by ItzRadhika
69

\bf\underline{\underline{\green{SOLUTION:-}}}

Question

  • The product of two consecutive +ve integers is 306 find integers?

Answer

  • Numbers are 17 and 18

Given

  • Product of two consecutive positive integers is 306

To Calculate

  • Integers __?

Explanation

Product of two consecutive positive integers is 306 ( Given)

Let two consecutive numbers are x and x+1

According to question

⇝ x+ (x+1) = 306

⇝ x²+x=306

⇝ x²+18x-17x-306=0

⇝ x(x+18)-17(x+18)=0

⇝ (x+18)(x-17)=0

⇝ x+18=0,x-17=0

⇝ x=-18,x=17

So,

Numbers are x = 17 , x+1 =18

\bf\underline{\underline{\green{HENCE:-}}}

  • Numbers are 17 and 18
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