algebra

posted by .

if integers x and y satisfy 2008x=16y , the smallest possible value of x+y is______.

  • algebra -

    Using positive integers,
    since 2008=8*251 and 16 = 8*2,
    251x = 2y

    x=2, y=251 gives x+y=253

    If you allow zero, then 0+0=0 is the minimum.

    now, if you allow negative integers, then there is no minimum value.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. mathematics

    Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k.
  2. math

    Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k
  3. math

    Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k
  4. Mathematics

    Let 5a+12b and 12a+5b be the side lengths of a right-angled triangle and 13a+kb be the hypotenuse, where a,b and k are positive integers. find the smallest possible value of k and the smallest values of a and b for that k.
  5. Algebra

    a,b,c are positive integers such that a:b=7:9 and b:c=12:7 . What is the smallest possible value of a ?
  6. ALGEBRA.

    The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?
  7. Algebra

    a and b are positive integers that satisfy 18a=b^3 . What is the minimum possible value of a+b ?
  8. algebra!!!! please help me!!!!

    The smallest possible positive value of 1−[(1/w)+(1/x)+(1/y)+(1/z)] where w, x, y, z are odd positive integers, has the form a/b, where a,b are coprime positive integers. Find a+b.
  9. Mathematics

    let 5a+12b and 12a+5b be the sides length of a right-angled triangle and let 13a+kb be the hypotenuse,l where a,b and k are positive integers. find the smallest possible value of k and the smallest values of a and b for that k.
  10. math

    For positive integers x and y, x+y=21. What is the smallest possible value of xy?

More Similar Questions