Mathematics · Quadratic Equations
The average age of A and B (A > B) and the difference between their ages are given by the roots of the equation: x2 – 48x + 432 = 0. The HCF of the ages of B and C is 15, while the age of C is 4 less than a perfect square of an integer. If the average age of all 3 persons is 'M', then which of the following can be the possible value(s) of 'M'? Note: Ages (in years) of all 3 persons are 2-digit numbers. I: 39 II: 42 III: 44
- 1Either I or II
- 2Only I and II together
- 3Only I✓
- 4Only II
Correct answer
Only I
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