Question

If x:y=3:4,find(3x+4y)=(5x+6y)

Answer 1

Answer:

$Value \: of \: \frac{3x+4y}{5x+6y} = 25 : 39$

Step-by-step explanation:

Given x : y = 3 : 4

Let x = 3m,

y = 4m,

$Value \: of \: \frac{3x+4y}{5x+6y}\\=\frac{3\times 3m+ 4\times 4m}{5\times 3m+6\times 4m}\\=\frac{9m+16m}{15m+24m}\\=\frac{25m}{39m}\\=\frac{25}{39}\\=25:39$

Therefore,

$Value \: of \: \frac{3x+4y}{5x+6y} = 25 : 39$

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Answer 2

Answer:

{3x+4y}{5x+6y}=25:39

Step by step explaination:

Given x : y = 3 : 4

Let x = 3m, y=4m

5x+6y

3x+4y

= 5×3m+6×4m

3×3m+4×4m

= 15m+24m

9m+16m

= 39m

25m

39

= 25

=25:39

Therefore,

5x+6y = 25

3x+4y 39

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