Question

2,6,10,14,18,22,26,30,34,38,42,46,50,54,58
ह्यातील कोणत्या ही 3 संख्या ची बेरीज 60 अली पाहिजेत, बगु कोण किती हुशार आहे ते.
उत्तर लवकर पाठव

Answer 1

Given :  2,6,10,14,18,22,26,30,34,38,42,46,50,54,58

To find  :  3 numbers such that sum = 60

Solution:

2,6,10,14,18,22,26,30,34,38,42,46,50,54,58

This is an AP

with d = 4   a = 2

an  = a + (n-1)d

=> an   = 2 + ( n - 1)4

=> an =  2 + 4n - 4

=> an = 4n - 2

Any term will be of form 4n - 2

if we add any three terms

then   sum would be  4a - 2 + 4b - 2  + 4c - 2

= 4(a + b + c) - 4 - 2

= 4(a + b + c - 1) - 2

= 4k - 2

Sum = 4 k - 2

60 = 4 * 15

=   4k - 2  can not be equal to 4 * 15

Hence sum can not be equal to 60

Hence its not possible to add 3 numbers to get 60

but if we do not use simple maths

then we can use three numbers

2  , 6  & 34

26  + 34

= 60

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