2,6,10,14,18,22,26,30,34,38,42,46,50,54,58..and any 3 numbers and get 60 as the sum?
Answers
(50+14+6-10) = 60
I hope this is valid. There is addition of 3 numbers from the list. However, a number has also been subtracted. According to the question there was no restriction on any other manipulations!
I HOPE ITS HELP YOU DEAR,
THANKS
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:
(26 + 34 = 60) ( three numbers used 2 , 6 & 34)
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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