Question 110

The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?

Solution

Let the numbers be $$3x$$ and $$5x$$

According to ques,

=> $$\frac{3x+8}{5x+8}=\frac{13}{19}$$

=> $$57x+152=65x+104$$

=> $$65x-57x=152-104$$

=> $$x=\frac{48}{8}=6$$

$$\therefore$$ Sum of numbers = $$3x+5x=8\times6=48$$

=> Ans - (B)

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