Math, asked by harshak3456, 9 months ago

if m+n : m-n = 19:5 find m:n value​

Answers

Answered by samaira32130
0

Answer:

24:14 or 12:7

Step-by-step explanation:

m+n/m-n=19/5

now cross multiply them

5m+5n=19m-19n

bring the terms having m on one side and terms having n on one side

-14m=-24n

14m=24n

m/n=24/14

or.....m/n=12/7

m:n=12:7

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Answered by Anonymous
24

{\red{\boxed{\huge{\bold{Given:-}}}}}

m+n : m-n= 19:5

{\red{\boxed{\huge{\bold{To\: Find:-}}}}}

Value of m:n

{\red{\boxed{\huge{\bold{Solution:-}}}}}

m+n : m-n = 19 : 5

 =  >  \frac{m + n}{m - n}  =  \frac{19}{5}  \\  =  >  \frac{m + n + m - n}{m + n - m + n}  =  \frac{19 + 5}{19 - 5}  \\  =  >  \frac{2m}{2n}  =  \frac{24}{14}  \\  =  >  \frac{m}{n}  =  \frac{12}{7}

=> m : n = 12 : 7

{\red{\boxed{\huge{\bold{Answer:-}}}}}

Value of m : n is 12 : 7.

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