Quant Question Of The Day: 266
Numbers
If x, y are natural numbers such that 2013 + x2 = y2, then the minimum possible value of xy is
A. 671
B. 668
C. 658
D. 645
If x, y are natural numbers such that 2013 + x2 = y2, then the minimum possible value of xy is
A. 671
B. 668
C. 658
D. 645
2013 = y2 – x2
(y – x) (x + y) = 201
(y – x) (y + x) = 33 × 61 [2013 = 3 × 11 × 61]
y – x = 33
y + x = 61
2y = 94
y = 47
2x = 28
x = 14
(xy)min = 47 × 14 = 658
New Question: Coordinate Geometry
good information
By Những dòng bồn cầu thông minh ... , 4 months ago
C-658
658 (c)
C
C. 658
C – 658
Y^2-X^2=2023=61×11×3=61×33
Y+X=61
Y-X=33
X=47
Y=14
XY=658
c)