The average age of A, B, C, D, and E is 40 years. The average age of A and B is 35 years and the average age of C and D is 42 years. The age of E is?
Question
The average age of A, B, C, D, and E is 40 years. The average age of A and B is 35 years and the average age of C and D is 42 years. The age of E is?
Solution
To solve this problem, we need to use the formula for the average, which is the sum of the values divided by the number of values.
Step 1: The average age of A, B, C, D, and E is 40 years. So, the total age of A, B, C, D, and E is 40 * 5 = 200 years.
Step 2: The average age of A and B is 35 years. So, the total age of A and B is 35 * 2 = 70 years.
Step 3: The average age of C and D is 42 years. So, the total age of C and D is 42 * 2 = 84 years.
Step 4: Now, to find the age of E, we subtract the total age of A, B, C, and D from the total age of A, B, C, D, and E. So, the age of E is 200 - 70 - 84 = 46 years.
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