The sum of two numbers is 25 and their difference is 13. Find their product :
A. 104
B. 114
C. 315
D. 325
Answer: Option B
Solution(By Examveda Team)
Let the numbers be x and yThen,
x + y = 25 and x - y = 13
$$\eqalign{ & \Leftrightarrow 4xy = {\left( {x + y} \right)^2} - {\left( {x - y} \right)^2} \cr & \Leftrightarrow 4xy = {\left( {25} \right)^2} - {\left( {13} \right)^2} \cr & \Leftrightarrow 4xy = 625 - 169 \cr & \Leftrightarrow 4xy = 456 \cr & \Leftrightarrow xy = 114 \cr} $$
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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