Question

19. The sum of 5 consecutive odd numbers of Set A is 185.What will be the average of
Set B containing 4 consecutive even numbers if the smallest number of Set B is 13
more than the highest number of Set A?
2) 61
3) 53
4) 57
​

Answer 1

$\sf{ \purple{let \: the \: numbers \: be : }}$

$\sf{x+1 \: ,x+3 \: ,x+5 \: ,x+7 \: ,x+9}$

$\sf{since \: their \: sum \: is \: 185}$

$\implies \sf{x+1 + x+3 + x+5 + x+7 + x+9 = 185}$

$\implies \sf{5x + 25= 185}$

$\implies \sf{5(x + 5)= 185}$

$\implies \sf{x + 5= 37}$

$\implies \sf{x = 32}$

$\therefore \sf{the \: numbers \: are}$

$\sf{x+1 \: ,x+3 \: ,x+5 \: ,x+7 \: ,x+9}$

$\orange{\therefore 33,35,37,39,41}$