Question
The average age of A and B is 3 years more than the
average age of A and C. If B’s current age is 4/3 times A’s age, and C is 2 years older than A, what is A’s present age?Solution
Given that,(A + B)/2 = [(A + C)/2] + 3........(1)Also given that,B = 4A/3And C = A + 2From equation (1):[A + (4A/3)]/2 = [(A + A + 2)/2] + 37A/6 = A + 4(7A/6) - A = 4A = 24 years
If A : B = 8:5 and A is 21 more than B then find the sum of A and B.
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