Question 8

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number?

Solution

Ratio of first number to second number = 3 : 5 and ratio of the second number to the third number = 4 : 7

Multiplying first equation by 4 and second equation by 5 to make the second (common) term equal.

Let first number be = $$12x$$, second number = $$20x$$ and third number = $$35x$$

=> Sum = $$12x+20x+35x=67x=67$$

=> $$x=\frac{67}{67}=1$$

$$\therefore$$ Second number = $$20\times1=20$$

=> Ans - (A)

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