Question

A company employed 400 persons in the year 2001 and each year increased by 35 persons. in which year the number of employees in the company will be 785?

Answer 1

in 2013 the number of employees in the company will be 785

Answer 2

Hey!!!!

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Here the number of employees increases in an AP with d = 35

AP : 400,435,470,..785

Thus

a = 400
d = 35
l = 785
n = ?

Thus we know

=> l = a + (n - 1)d

=> 785 = 400 + (n - 1)35

=> (n - 1)35 = 385

=> n - 1 = 11

=> n = 12

Thus 2001 + 12 = 2013.

Thus by 2013 the company will have 785 employees.

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Hope this helps ✌️