Question 71

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

Solution

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

According to the problem

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

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

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

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

$$\therefore\ $$Sum of the numbers$$=3x+4x=7x=7\left(5\right)=35$$

Hence, the correct answer is Option A

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