If x, y are positive integers with 45x=y(2), what is the smallest possible value of X+y ?
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Given : x, y are positive integers with 45x = y²
To find : smallest possible value of x+y
Solution:
45x = y²
=> y² = 45x
=> y² = 3 * 3 * 5 * x
=> y² = 3² * 5 * x
as x & y are integer so smallest possible value of x = 5
=> y² = 3² * 5 * 5
=> y² = 3² * 5²
=> y² = 15²
=> y = 15
x = 5 , y = 15
x + y = 5 + 15 = 20
smallest possible value of x+y = 20
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