Latest TCS Aptitude Question SOLUTION: How many positive integer solutions does the equation 2x+3y = 100 have? a)50 b)33 c)16 d)35

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How many positive integer solutions does the equation 2x+3y = 100 have?

a)50

b)33

c)16

d)35

Asked In TCS shrishti jain (12 years ago)

Solved Chetan Anand Read Solution (3)

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BALAKUMAR R  (12 years ago)

formula: (constant)/(lcm of two nos)
==100/(2*3)=15.5…(rounded of as 16..)

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Chetan Anand  (12 years ago)

c)16
x=(100-3y)/2=50-(3y/2)
So, y should be in the multiple of 2 till x is positive i.e. y=(2,4,6,...,32).

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Robin Raj  (12 years ago)

u hv given
x=(100-3y)/2;here we see that for a positive value of x, there would be a range of y from 0 to 32(2,4,6,8.....)
hence total no of +value is=17
similarly;
y=(100-2x)/3;here the range of y is 2 to 47(2,5,8,11......).
hence total no of +value is=16
hence total no of positive value would be=33

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