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5m - n = 3m + 4n then find the value of the following expression. 3m+4n3m-4n - Algebra

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प्रश्न

5m - n = 3m + 4n  then find the value of the following expression.

`(3m + 4n)/(3m - 4n)`

योग

उत्तर

5m - n = 3m + 4n

⇒ 5m - 3m = n + 4n

⇒ 2m = 5n

⇒ `m/n = 5/2`

`(3m + 4n)/(3m - 4n)`

= `[(3m)/n + (4n)/n]/[(3m)/n - (4n)/n]`

= `[3 xx 5/2 + 4]/[3 xx 5/2 -4]`

= `[15+8]/[15-8]`

= `23/7`

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Operations on Equal Ratios
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Ratio and Proportion - Practice Set 4.4 [पृष्ठ ७३]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 4 Ratio and Proportion
Practice Set 4.4 | Q (2) (ii) | पृष्ठ ७३
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