Question

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

• A. 3
• B. 2
• C. 9
• D. 4

Answer 1

The correct option is B

2

Let the number to be added be x, then than ratio will be

$(2+x):(3+x)=4:5$

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