Question

The product of two consecutive positive integers is 17 more than 5 times their sum. Find the numbers​

Answer 1

Answer:

The no. are 11 and 12

Step-by-step explanation:

n(n+1)=17+5(2n+1)

n^2 +n=17+10n+5

n^2 -9n-22

Splitting the middle term

n^2 -11n+2n -22

n(n-11)+2(n-11)

(n-11)(n+2)

As n cannot ne negative,

n=11 and 12(consecutive no.)

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Answer 2

Answer:

11 and 12

Step-by-step explanation:

So,

11 + 12=23

23 x 5=115

11 x 12=132

132-115=17