Question 110

The ratio of two numbers is 5 : 11. If both numbers are increased by 10, the ratio becomes 7 : 13. What is the sum of the two numbers?

Solution

Let the numbers be $$5x$$ and $$11x$$

According to ques,

=> $$\frac{5x+10}{11x+10}=\frac{7}{13}$$

=> $$65x+130=77x+70$$

=> $$77x-65x=130-70$$

=> $$x=\frac{60}{12}=5$$

$$\therefore$$ Sum of numbers = $$5x+11x=16\times5=80$$

=> Ans - (A)

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