The sum of 3 numbers in AP is 48. The sum of their squares is 800. Find the largest among the three numbers.
The sum of 3 numbers in AP is 48. The sum of their squares is 800. Find the largest among the three numbers. Correct Answer 20
Let the three numbers in AP be a-d, a, a+d Given, sum of those numbers is 48. i.e., (a-d) + a + (a+d) = 48 Hence, a=16 Also, given that sum of their squares is 800. i.e., (a-d)2 + a2 + (a+d)2 = 800 (16-d)2 + 162 + (16+d)2 = 800 Hence, d=4 Therefore, the largest number (a+d) is 20.
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Feb 20, 2025
