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For any two numbers m, n; (m+n) : (m-n): mn=7 :1 : 60. Find the value of 1/m : 1/n

For any two numbers m, n; (m+n) : (m-n): mn=7 :1 : 60. Find the value of 1/m : 1/n Correct Answer 3 :4

Given , (m + n) (m - n) : mn = 7 :1 : 60 ∴ (m + n) (m - n) = 7 :1 ⇒m + nm - n = 71⇒m + n + m - nm + n - m + n = 7 + 17 - 1⇒2m2n = 86⇒mn = 43⇒nm = 34⇒m1n = 34.'. 1m : 1n  = 3 : 4 

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