if one sixth of a number is added to one eighth of the same number, the result is 35. find the number?

(1/6)n + (1/8)n = 35

(4/24)n + (3/24) n = 35

(7/24)n = 35

n = 35 / (7/24)

n = 35 * (24/7)

n = 840/7 = 120