Question

What number must be added to each term of the ratio 5 : 37 to make it equal to 1 : 3 ?

Answer 1

Given ratio is $5:37$

Let the number which is to be added to each term of given ratio be $a$

Now the given ratio becomes $(5+a):(37+a)$ , Given that it is equal to $1:3$

$\Rightarrow \frac{5+a}{37+a}=\frac{1}{3}$

$\Rightarrow 15+3a=37+a$

$\Rightarrow 2a=22$

$\Rightarrow a=11$

Therefore number $11$ should be added to each term of the ratio $5:37$ to make it equal to $1:3$