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Question
If (m + n) : (n − m) = 5 : 2, m : n is ______.
Options
3 : 7
7 : 3
5 : 3
3 : 5
MCQ
Fill in the Blanks
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Solution
If (m + n) : (n − m) = 5 : 2, m : n is 3 : 7.
Explanation:
(m + n) : (n − m) = 5 : 2
∴ `(m + n)/(n − m) = 5/2`
⇒ 2(m + n) = 5(n − m)
⇒ 2m + 2n = 5n − 5m
⇒ 2m + 5m = 5n − 2n
⇒ 7m = 3n
⇒ `m/n = 3/7`
⇒ m : n = 3 : 7.
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