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Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of ( A + B + C) , (C + D + E) , (E + F+ G) and (G + H+ K ) is equal to 13. Which integer does E represent?
  • a)
    1
  • b)
    4
  • c)
    6
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Each of the letters in the figure below represents a unique integer fr...
A + B + C = C + D + E + E + F + G
= G + H + K = 13
If we add all, we will get = 4 * 13 = 52
But sum of all natural number 1 to 9 
A + B + C + C + D + E + E + F + G + G + H + K = 50
A  + B + C + D + E + F + G + H + K = 45
Substraction eq. (ii) from (i)
Hence, C + E + G = 7
Also, C + D + E = 13
Substraction eq. (iii) from (iv) 
D - G = 6
E = 4
Alternative Method
By checking other equations
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Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of ( A + B + C) , (C + D + E) , (E + F+ G) and (G + H+ K ) is equal to 13. Which integer does E represent?a)1b)4c)6d)7Correct answer is option 'B'. Can you explain this answer?
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