Question 63

Two numbers are in the ratio 3 : 4. On increasing each of them by 30, the ratio becomes 9 : 10. The numbers are:

Solution

Let the two numbers be $$3x$$, $$4x$$

According to the problem

$$\ \frac{3x+30}{4x+30}=\frac{9}{10}$$

$$=$$> $$30x+300=36x+270$$

$$=$$> $$6x=30$$

$$=$$> $$x=5$$

$$\therefore\ $$The numbers are $$3x,4x=3(5),4(5)=15,20$$

Hence, the correct answer is Option C

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