Quant Question Of The Day: 117
Algebra
How many integer solutions (x, y) are there for the equation (x – 5)(x – 23) = 3y?
a) 0
b) 1
c) 2
d) 3
e) More than 3
How many integer solutions (x, y) are there for the equation (x – 5)(x – 23) = 3y?
a) 0
b) 1
c) 2
d) 3
e) More than 3
(x – 5)(x – 23) = 3y
=> (x – 5) = 3a
and (x – 23) = 3b
where a + b = y
3a – 3b = 18
=> 3b (3(a-b) – 1) = 9×2
=> b = 2 and a = 3
Also, we need to consider the case when both terms are negative
So, one more solution
New Question: Coordinate Geometry
good information
By Những dòng bồn cầu thông minh ... , 1 month ago
1
At x= -4