The average age of 9 men = 45 years ⇒ Total age of 9 men = 45 × 9 = 405 years ---- (1) ⇒ The average age of 9 men and one woman = 44 years ⇒ Total age of 9 men and one woman = 44 × 10 = 440 years ---- (2) From (1) and (2), ⇒ Age of woman = 440 – 405 = 35 years ∴ The age of the woman is 35 years.