The sum of two numbers is 37 and the difference of their squares is 185, then the difference between the two numbers is :
A. 10
B. 4
C. 5
D. 3
Answer: Option C
Solution(By Examveda Team)
Let the numbers be a and b, where a > bAccording to the question,
$$\eqalign{ & a + b = 37\& {a^2} - {b^2} = 185 \cr & \Rightarrow \left( {a + b} \right)\left( {a - b} \right) = 185 \cr & \Rightarrow 37\left( {a - b} \right) = 185 \cr & \Rightarrow a - b = \frac{{185}}{{37}} \cr & \Rightarrow a - b = 5 \cr} $$
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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