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Find the number of solutions of [15(5 x+5 y)]=300 , such that  x and y are odd numbers

Option: 1

5


Option: 2

3


Option: 3

2


Option: 4

1


Answers (1)

best_answer

Given,
[15(5 x+5 y)]=300$ and $x, y>0
Generalized formula to find the number of solutions of equations is
$$ a_1+a_2+\ldots .+a_r=(n+r-1) c_{r-1} $$ Let, $x=x$ and $y=y Then, $(5 x+5 y)=20So the equation becomes
x + y = 4
Hence from above equation, n = 4 and r = 2
Hence the total number of solutions =(4+2-1) c_{2-1}=5 c_1=5

Posted by

jitender.kumar

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