Question 61

The sum of three numbers is 79. If the ratio of the first number to the second number is 4 : 7 and that of the second number to the third number is 4 : 5, then the second number is:

Solution

Let the three numbers are a, b, c

Given, Sum of the numbers = 79

Ratio of first number to second number = 4 : 7

$$=$$> a : b = 4 : 7

$$=$$> a : b = 16 : 28

Ratio of second number to third number = 4 : 5

$$=$$> b : c = 4 : 5

$$=$$> b : c = 28 : 35

$$=$$> a : b : c = 16 : 28 : 35

$$\therefore\ $$Second number = $$\frac{28}{79}\times79$$ = 28

Hence, the correct answer is Option B

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