What must be added to each term of the ratio 2 : 3, so that it becomes equal to 4 : 5?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
2

Let the number to be added be $x,$ then $(2 + x) : (3 + x) = 4 : 5$

$\Rightarrow \frac{2 + x}{3 + x} = \frac{4}{5} \Rightarrow 5 (2 + x) = 4 (3 + x) \Rightarrow 10 + 5 x = 12 + 4 x \Rightarrow 5 x - 4 x = 12 - 10 \Rightarrow x = 2$

Suggest Corrections

Similar questions

What quantity must be added to each term of the ratio $6 : 11$ so that it becomes equal to $2 : 3$ ?

Two numbers are in a ratio 2 : 3. What must be added to each of them so that the ratio becomes 4 : 5?

What quantity must be added to each term of the ratio x : y so that it may become equal to c : d ?

Join BYJU'S Learning Program