name 6 consecutive multiples of 5 which, when added together, make a sum between 340 and 350

Answer 1

345 / 6 = 57.5

I think you can take it from there.

Answer 2

let the first multiple of 5 be x
then the next 5 consecutive multiples of 5 are x+5, x+10, x+15, x+20, and x+25
their sum is 6x+75
then
340 ≤ 6x+75 ≤ 350 , subtract 75 from each part
265 ≤ 6x ≤ 275 , divide each part by 6
44.16 ≤ x ≤ 45.8

so the only multiple of 5 between those two value is 45

so the numbers are 45,50,55,60, 65, and 70