find four natural numbers in AP. such that their sum is 24 and their product is 945??

Question

it is the question of commercial mathematics for CA Cap 1................................. please solve it as fast as you can....

Answer 1

Since 945 has a 5 in the ones-digit position, it is likely that one of the factors is 5 or 15 (25 is too large).

 

The prime factors of 945 are:  3*3*3*5*7

Can these numbers be grouped such that the sum is 24 ??

 

Taken individually, 3+3+3+5+7 = 21.  We need 3 more to get a sum of 24. And, we want only four, not five, natural numbers.  What product of two numbers will increase the sum from 21 to 24??  Well, 3+3=6 and 3*3=9.  That does it!!

 

   3*5*7*9 = 945

  and

   3+5+7+9 = 24

 

Special Note:  Problem-solving ability will be a life-long benefit to you.  Getting a specific answer only helps on one test.

Answer 2

3, 5, 7 ,9   works.