Question

give me answer please..... fast........

Answer 1

Step-by-step explanation:

Step-by-step explanation

465 = n(n + 1)/2

\begin{gathered}930 = n^{2} + n\\\end{gathered}

930=n

2

+n

n^{2} + n - 930n

2

+n−930 = 0

n^{2} + 31n - 30n - 930 = 0n

2

+31n−30n−930=0

n( n + 31) - 30(n + 31) = 0n(n+31)−30(n+31)=0

(n +31)(n-30) = 0(n+31)(n−30)=0

Therefore n = 30n=30 or (-31)

But number of terms cannot be negative so (-31) is not possible

So n = 30

So 30 consecutive natural numbers should be added to get 45.

I HOPE IT HELPS

2part

Let one number be x. other number = (50-x)

x^2=(50-x)^2 = 2050

x^2+2500-100x+x^2 = 2050

2x^2-100x+2500-2050=0

2x2-100x+450=0

x^2-50x+225=0 225=5*5*3*3

(x-5)(x-450=0 225=5*45

x=5 or 45

smaller number = 5

larger number =45