Question

*If 7m-2n=5m+3n then (4m+3n)/(4m-3n)=?* 1️⃣ 5/2 2️⃣ 10/3 3️⃣ 13/7 4️⃣ 26/7
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Answer 1

$\large\huge\green{\sf{Answer:-}}$

• option 3 is correct

$\large\huge\green{\sf{Explanation:-}}$

$➡7m - 2n = 5m + 3n \\ ➡7m - 5m = 3n + 2n \\ ➡ 2m = 5n \\ ➡m = \frac{5n}{2} \\ now _{ - } \\ \frac{4m+3n}{4m - 3n} \\ \\ put \: value \: of \: : - \\ = \frac{4 \times ( \frac{5n}{2} )+ 3n}{4 \times ( \frac{5n}{2} ) - 3n} \\ = \frac{\frac{20n}{2} + 3n}{\frac{20n}{2} - 3n} = \frac{\frac{20 + 6n {}^{} }{2} }{\frac{20 - 6n {}^{} }{2} } \\ = \frac{26n}{14n} = \frac{13}{7}$

Answer 2

Given:

If 7m-2n=5m+3n

To Find:

then (4m+3n)/(4m-3n)=?

1️⃣ 5/2 2️⃣ 10/3 3️⃣ 13/7 4️⃣ 26/7

Solution:

It is given that 7m-2n=5m+3n, then we can find the value of m in terms of n then we will substitute the same in the To Find equation,

Finding the value of m,

7m-2n=5m+3n

2m=5n

m=2.5n

Now substituting the value of m in the equation to find the value, which goes as,

$=\frac{4m+3n}{4m-3n}$

Let this be equal to x, so will need to find the value of x,

$x=\frac{4m+3n}{4m-3n} \\=\frac{10n+3n}{10n-3n}\\=\frac{13n}{7n}\\=\frac{13}{7}$

So the value of x is 13/7

Hence, the correct option is (3).

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