Of the three number, the sum of the first two is 73, the sum of the second and the third is 77 and the sum of the third and thrice the first is 104. The third number is ?
A. 25
B. 39
C. 48
D. Cannot be determined
E. None of these
Answer: Option E
Solution(By Examveda Team)
Let the numbers be x, y and zThen,
$$\eqalign{ & {\bf{x + y = 73}} \cr & \Leftrightarrow y = 73 - x \cr & {\bf{y + z = 77 }} \cr & \Leftrightarrow z = 77 - y \cr & \Leftrightarrow z = 77 - \left( {73 - x} \right) \cr & \Leftrightarrow z = 4 + x \cr & {\bf{3x + z = 104}} \cr & \Leftrightarrow 3x + 4 + x = 104 \cr & \Leftrightarrow 4x = 100 \cr & \Leftrightarrow x = 25 \cr & \because y = \left( {73 - 25} \right) \cr & \Leftrightarrow y = 48 \cr & \because z = \left( {4 + 25} \right) \cr & \Leftrightarrow z = 29 \cr} $$
∴ Third number = 29
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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