You need to find out what x equals.

17x + 136 = 306

17x = 170

x= 10

Check answer…

10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26 = 306

success!

Hope that explained it a bit. 🙂

therefore

the sum of the 17 consecutive no is given by

a+(a+1)+(a+2)+……+(a+16)

which is equal to 306(given)

if we combine the variable a we get

17 a’s

if we combine the numbers we get

1+2+3+4+….+16

we can use the formula for the sum of ‘n’ numbers

(n(n+1))/2

here n=16

therefore (16*(16+1))/2

= (16*17)/2

= 136

from the original equation we formed

we get

17a+136=306

now solving for a

17a = 306-136

17a = 170

a=170/17

a=10

therefore the first number is 10

if u want to examine the result

u substitute a=10 in the first equation we formed

it will definitely satisfy.