Sum of the 7 consecutive integers is 1617. Find the sum of prime numbers in that sequence

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30 May 2019 Numbers

Sum of the 7 consecutive integers is 1617. Find the sum of prime numbers in that sequence

OPtion

1) 440
2) 380
3) 520
4) 560
5) 550
6) 470
7) 480
8) 360
9) 460
10) None of these

Solution

Let the numbers be x, x+1, x+2, x+3, x+4, x+5, x+6
Since their sum equals 1617, we have-
x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)=1617
7x+21=1617
7x=1596
x=228

Hence the numbers are: 228,229,230,231,234,235,236
Prime Numbers: 229, 233

Sum of prime numbers = 462

Correct Option: 10 Best Solution (0)