Question 63

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

Solution

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

According to ques,

=> $$\frac{3x+6}{5x+6}=\frac{2}{3}$$

=> $$9x+18=10x+12$$

=> $$10x-9x=18-12$$

=> $$x=6$$

$$\therefore$$ Numbers are = $$(3 \times 6),(5 \times 6)$$

= 18 and 30

=> Ans - (D)


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