Question

what should be added to the ratio 5:11 so that the ratio becomes 3:4?

Answer 1

$\textsf{Given ratio is 5:11}$

$\textsf{As per given data, }$

$\mathsf{(5+k):(11+k)=3:4}$

$\implies\mathsf{\frac{5+k}{11+k}=\frac{3}{4}}$

$\implies\mathsf{4(5+k)=3(11+k)}$

$\implies\mathsf{20+4k=33+3k}$

$\implies\mathsf{k=13}$

$\therefore\textsf{13 should be added to 5:11 so that it becomes 3:4}$

Answer 2

Answer: 13

Step-by-step explanation:

Let the number which is to be added 'x'

Therefore,

5:11 + x = 3:4

Now for calculating,

(refer the image)

I hope this calculation made it much simpler.