Question

If x/5 = y/3 then 3x + 5y / ………… fill in the blanks by choosing correct answer​

Answer 1

Answer :-

→ x/5 = y/3 = 3x + 5y/ ? Let = k (where k is constant)

so,

→ x/5 = k

→ x = 5k

and,

y = 3k .

putting in third we get,

→ 3x + 5y / m = k

→ 3*(5k) + 5(3k) / m = k

→ 15k + 15k = k * m

→ 30k = k * m

→ m = 30

therefore,

→ x/5 = y/3 = 3x + 5y/ 30 .(Ans.)

Learn more :-

*What will be the third number in ascending order of the given numbers?*

1️⃣ - 3/5

2️⃣ - 4/7

3️⃣ - 1/3

4 - 6 /11

https://brainly.in/question/39269720?utm_source=android&utm_medium=share&utm_campaign=question

Answer 2

SOLUTION

TO FILL IN THE BLANK

$\displaystyle \sf{ \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{?} }$

FORMULA TO BE IMPLEMENTED

RULE OF ADDENDO

$\displaystyle \sf{ \frac{a}{b} = \frac{c}{d} = \frac{ma + nc}{mb + nd} }$

EVALUATION

$\displaystyle \sf{ \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{?} }$

Now

$\displaystyle \sf{ \: \frac{x}{5} = \frac{y}{3} }$

$\displaystyle \sf{ \implies \: \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{(3 \times 5) + (5 \times 3)} } \: \: \: (By \: Rule \: of \: Addendo \: )$

$\displaystyle \sf{ \implies \: \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{15 + 15} }$

$\displaystyle \sf{ \implies \: \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{30} }$

FINAL ANSWER

$\displaystyle \sf{ \frac{x}{5} = \frac{y}{3} = \frac{3x + 5y}{ \boxed{ \: 30 \: }} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Ifa : b=c:d=e: f= 2:1, then (a + 2c + 3e) : (5b + 10d + 15f) is equal to:

https://brainly.in/question/23293448

2. If p/2q = 11/5 then p-2q/p+2q = ?

https://brainly.in/question/34239839