Question

A sum of Rs700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs20 less than its preceding prize, find the value of each of the prizes.

Answer 1

Let the prizes be a+60, a+ 40, a+20, a, a-20, a-40, a-60
Therefore, the sum of prizes is
a+ 60 + a + 40+ a+ 20+a + a -20+ a -40+ a-60 =700