Question

The sum of three numbers is 116. the ratio of second to the third is 9 : 16 and the first to the third is 1 : 4. the second number is

Answer 1

I hope you will be able to understand

Answer 2

Ratio of second : third = 9 : 16

Ratio of first : third : 1 : 4

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STEP 1: Make the third's ratio the same:

Since both ratio has third, we will make both the third's ratio the same

Ratio of second : third = 9 : 16

Ratio of first : third : 1 : 4

multiply by 4 :

Ratio of first : third : 4 : 16

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STEP 2: Put the ratio together:

first : second : third = 4 : 9 : 16

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STEP 3: Find x:

Let x be the constant ratio.

The sum of these 3 numbers is 116

4x + 9x + 16x = 116

29x = 116

x = 4

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STEP 4: Find the second number:

second number = 9x = 9(4) = 36

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Answer: The second number is 36