sum of two consecutive terms is 145
let the numbers be the nth and (n+1)th term
nth term = 5n+10
(n+1)th term = 5(n+1)+10 = 5n+5+10 = 5n+15
5n+10 + 5n+15 = 145
⇒ 10n + 25 = 145
⇒ 10n = 145-25 = 120
⇒ n = 120/10 = 12
terms are:
5n+10 = 5 x 12 + 10 = 70
5n + 15 = 5 x 12 + 15 = 75
