Mathematics

If m:n = 13:11, find m(^2) – n(^2) : (m + n)(^2)

If m:n = 13:11, find m(^2) – n(^2) : (m + n)(^2)

  • A.
    1:11
  • B.
    1:13
  • C.
    1:10
  • D.
    1:12
Correct Answer: Option D
Explanation

m : n = 13 : 11
m(^2) – n(^2) : (m + n)2
= 13(^2) – 11(^2) : (13 + 11)(^2)
= 169 – 121 : 24(^2)
= 48 : 576
= 1 : 12