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Q.

Is it true that if the sum of four consecutive even integers is 92 then the largest number is 26?


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a

True

b

False 

answer is A.

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Detailed Solution

It is given if the sum of four consecutive even integers is 92 then the largest number is 26.
Let, four consecutive even numbers be,
 x,x+2,x+4 and x+6
According to the question,
x+x+2+x+4+x+6=92 ⟹4x+12=92 ⟹ x=804
⟹x=20
So, the largest number of them is x+6= 20+6 = 26 .
Therefore,  if the sum of four consecutive even integers is 92 then the largest number is 26 is true.
Hence, the correct option is 1.
 
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