The product of two consecutive positive integers is 17 more than 5 times their sum. Find the numbers
2 answers:
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:
11 and 12
Step-by-step explanation:
So,
11 + 12=23
23 x 5=115
11 x 12=132
132-115=17
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Step-by-step explanation:
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