Question

Present average of age of A and B is (9x-15) years. Present average age of A, B and C is (6x+5) years. If present age of B is 20% less than the present age of C and 25% more than the present age of A, then find the present age of A.

A 25 years Correct Answer Incorrect Answer
B 28.8 years Correct Answer Incorrect Answer
C 19.2 years Correct Answer Incorrect Answer
D 22.4 years Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Sum of the present age of A and B = 2 × (9x – 15) = 18x – 30 years Sum of the present age of A, B and C = 3 × (6x + 5) = 18x + 15 years So, the present age of C = 18x + 15 – 18x + 30 = 45 years Present age of B = 45 × (80/100) = 36 years Present age of A = (36/125) × 100 = 28.8 years

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