In a school, the number of students in each class, from Class I to X, in that order, are in an arithmetic prog

Question

In a school, the number of students in each class, from Class I to X, in that order, are in an arithmetic progression. The total number of students from Class I to V is twice the total number of students from Class VI to X.

If the total number of students from Class I to IV is 462, how many students are there in Class VI?

Accepted Answer

77. The number of students from 1 to 10 is in AP. Let's assume the series as follows: a, a+d, a+2d, a+3d, a+4d, a+5d, a+6d, a+7d, a+8d, a+9d. Given that the sum of the number of students in the first four classes is 462. So, a +a+d+ a+2d+ a+3d=4a+6d=462 => 2a +3d=231--->1 It is also given that the