The sum or two numbers is 37 and the difference of thier squares is 185, the difference of the two numbers is
A. 4
B. 5
C. 3
D. 10
Solution (By Examveda Team)
Let two numbers are X and Y.X + Y = 37.
X2 - Y2 = 185
(X + Y) (X - Y) = 185
X - Y = 5.
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x+y=37
x^2-y^2=185
(x+y)(x-y)=185
37(x-y)=185
(x-y)=185/37
(x-y)=5 ans
Ya 5
Explanation:
Let the two numbers be X and Y
The sum of two numbers is 37,
Then, X + Y = 37 .........(1)
The difference of their squares is 185.
Then, X^2 - Y^2 = 185 ........... (2)
X^2 - Y^2 =(X - Y) (X + Y)
From equation (1) and (2),
185 = (X - Y) x 37
X - Y = 185/37
X - Y = 5
Then, the difference of two numbers is 5.
Hence, the answer is (B) .
Its 5