### Instruction: The average age of the mother and her six children is 10 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Answer Choices: (A) 40 (B) 41 (C) 42 (D) 43 (E) 44.### Response: Let's solve the multi-choice question step by step.
Total age of mother and 6 children = avg x n = 10 x (6+1)= 70
If mother is excluded new average is (10 - 5) = 5
so for 6 children = 6 x 5 =30
so mother's age is 70 - 30 =40
The answer is Option A